Algebraic and Geometric Topology

Papers
(The median citation count of Algebraic and Geometric Topology is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)
ArticleCitations
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)17
Geometrically bounding 3–manifolds, volume and Betti numbers12
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups10
Chow–Witt rings of Grassmannians9
On some p–differential graded link homologies, II9
Atiyah–Segal completion for the Hermitian K-theory of symplectic groups8
Algebras for enriched ∞-operads8
Classification of metric fibrations8
The handlebody group and the images of the second Johnson homomorphism8
On k-invariants for (∞,n)-categories7
The space of nonextendable quasimorphisms7
Pre-Lie algebras with divided powers and the Deligne groupoid in positive characteristic6
6
Homotopy types of suspended 4–manifolds6
Quasi-isometric rigidity of subgroups and filtered ends5
On the complexity of 2-bridge link complements5
A connection between cut locus, Thom space and Morse–Bott functions5
The Hurewicz theorem in homotopy type theory5
Index-bounded relative symplectic cohomology5
Fourier transforms and integer homology cobordism5
The multiplicative structures on motivic homotopy groups5
Nonslice linear combinations of iterated torus knots5
The right angled Artin group functor as a categorical embedding5
Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles5
On keen weakly reducible bridge spheres5
Skew-rack cocycle invariants of closed 3-manifolds5
On local fibrations of (∞,2)-categories5
Slice genus bound in DTS2 from s–invariant5
The homotopy type of the PL cobordism category, II5
Homotopy classification of 4–manifolds whose fundamental group is dihedral5
Convexity in hierarchically hyperbolic spaces4
Action of the Mazur pattern up to topological concordance4
Geometric and arithmetic properties of Löbell polyhedra4
Generalized Long–Moody functors4
Sequential parametrized topological complexity and related invariants4
ℤk–stratifolds4
Analytic approach to S1–equivariant Morse inequalities4
The topological slice genus of satellite knots4
Rigidification of cubical quasicategories4
Projective naturality in Heegaard Floer homology4
On the mapping class groups of simply connected smooth 4-manifolds4
Projection complexes and quasimedian maps4
Smallest nonabelian quotients of surface braid groups4
4
4
On symplectic fillings of small Seifert 3–manifolds4
Free and based path groupoids4
Module structure of the homology of right-angled Artin kernels4
Loop homotopy of 6–manifolds over 4–manifolds4
On the topology of character varieties of once-punctured torus bundles4
Steenrod problem and some graded Stanley–Reisner rings4
Holomorphic polygons and the bordered Heegaard Floer homology of link complements3
Profinite completions of products3
External Spanier–Whitehead duality and homology representation theorems for diagram spaces3
Complex hypersurfaces in direct products of Riemann surfaces3
The Burau representation and shapes of polyhedra3
Combinatorial proof of Maslov index formula in Heegaard Floer theory3
Cohomological and geometric invariants of simple complexes of groups3
The minimal genus of homology classes in a finite 2–complex3
3
Circular-orderability of 3-manifold groups3
Linear bounds of the crosscap number of knots3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Hyperbolic groups with logarithmic separation profile3
Geometric triangulations and highly twisted links3
Generating the liftable mapping class groups of cyclic covers of spheres3
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces3
3
Low complexity among principal fully irreducible elements of Out(F3)3
Bigrading the symplectic Khovanov cohomology3
Morse–Bott cohomology from homological perturbation theory3
Chromatic (co)homology of finite general linear groups3
Bounded cohomology of classifying spaces for families of subgroups3
Classifying spaces of infinity-sheaves3
Finite presentations for stated skein algebras and lattice gauge field theory3
Infinitely many arithmetic alternating links3
Whitney tower concordance and knots in homology spheres3
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Multitwists in big mapping class groups3
Brauer–Wall groups and truncated Picard spectra of K-theory3
Planar Legendrian graphs3
Vector fields on noncompact manifolds3
The strong Haken theorem via sphere complexes3
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture3
Rank-preserving additions for topological vector bundles, after a construction of Horrocks3
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice3
Characterising slopes for hyperbolic knots and Whitehead doubles3
Asymptotic dimension of graphs of groups and one-relator groups3
On finitely generated normal subgroups of Kähler groups3
Warped product metrics on hyperbolic and complex hyperbolic manifolds3
Equivariant cohomology of projective spaces3
Mod 2 power operations revisited3
A scanning algorithm for odd Khovanov homology2
Embedding calculus for surfaces2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
The ????n-equivariant Euler characteristic of the moduli space of graphs2
Twisted spectra revisited2
Product and coproduct on fixed point Floer homology of positive Dehn twists2
Stable subgroups of the genus 2 handlebody group2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Iterated traces in 2–categories and Lefschetz theorems2
New bounds on maximal linkless graphs2
Regluing graphs of free groups2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
A topological construction of families of Galois covers of the line2
Equivariant preimage theory for G-maps2
Acylindrical hyperbolicity for Artin groups with a visual splitting2
Enriched quasicategories and the templicial homotopy coherent nerve2
Segalification and the Boardman–Vogt tensor product2
Profinite isomorphisms and fixed-point properties2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Parametrized higher category theory2
Cubulating a free-product-by-cyclic group2
Ribbon 2–knot groups of Coxeter type2
GKM manifolds are not rigid2
Surgery sequences and self-similarity of the Mandelbrot set2
Homological stability for the ribbon Higman–Thompson groups2
Special eccentricities of rational four-dimensional ellipsoids2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Leighton’s theorem and regular cube complexes2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Polyhedral coproducts2
Wall-crossing from Lagrangian cobordisms2
Presentations for cusped arithmetic hyperbolic lattices2
Characterizations of stability via Morse limit sets2
A note on knot Floer homology of satellite knots with (1,1)-patterns2
Formal contact categories2
Isospectrality of Margulis–Smilga spacetimes for irreducible representations of real split semisimple Lie groups2
A group-theoretic framework for low-dimensional topology, or: how not to study low-dimensional topology?2
2
3d quantum trace map2
The Borel cohomology of free iterated loop spaces2
Standard position for surfaces in link complements in arbitrary 3-manifolds2
Smooth constructions of homotopy-coherent actions2
Extension DGAs and topological Hochschild homology2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Generalizing quasicategories via model structures on simplicial sets2
Explicit formulas for the Hattori–Stong theorem and applications2
Braided multitwists2
Geometric triangulations of a family of hyperbolic 3–braids2
On homotopy groups of EChG24∧A12
Harmonic measures and rigidity for surface group actions on the circle2
An algorithmic definition of Gabai width2
2
Geodesic complexity of homogeneous Riemannian manifolds2
2
Two-dimensional extended homotopy field theories2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Asymptotic cones of snowflake groups and the strong shortcut property2
Linear linkless embeddings: proof of a conjecture by Sachs2
Right-angled Artin subgroups of right-angled Coxeter and Artin groups2
An explicit comparison between 2–complicial sets and Θ2–spaces2
On the positivity of twisted L2–torsion for 3–manifolds2
Torsion models for tensor-triangulated categories: the one-step case2
Kontsevich’s characteristic classes as topological invariants of configuration space bundles2
Topological finiteness properties of monoids, I: Foundations2
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces2
Extensions of finitely generated Veech groups2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Finiteness properties of some groups of piecewise projective homeomorphisms1
The homotopy type of the PL cobordism category, I1
The existence of a universal transverse knot1
1
Crushing surfaces of positive genus1
Chern character for infinity vector bundles1
Bridge trisections and Seifert solids1
Weave-realizability for D–type1
An embedding of the Morse boundary in the Martin boundary1
Colored Jones polynomials without tails1
A strong Haken theorem1
Equivariantly slicing strongly negative amphichiral knots1
Powell’s conjecture on the Goeritz group of S3 is stably true1
The Hodge Chern character of holomorphic connections as a map of simplicial presheaves1
Intersection norms on surfaces and Birkhoff sections for geodesic flows1
The mod 2 cohomology of the infinite families of Coxeter groups of type B and D as almost-Hopf rings1
Dimension of representation and character varieties for two- and three-orbifolds1
The localization of orthogonal calculus with respect to homology1
Combination theorems for geometrically finite convergence groups1
Bialgebraic approach to rack cohomology1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
1
Hamiltonian classification of toric fibres and symmetric probes1
The slices of quaternionic Eilenberg–Mac Lane spectra1
Diffeomorphisms of the 4-sphere, Cerf theory and Montesinos twins1
Dirichlet–Voronoi domain and injectivity radius of flag manifolds — equivariant cell structure on O(3)∕O(1)31
The bridge number of arborescent links with many twigs1
Augmentations and ruling polynomials for Legendrian graphs1
A minimality property for knots without Khovanov 2-torsion1
The generalized Kauffman–Harary conjecture is true1
Verdier duality on conically smooth stratified spaces1
1
Unchaining surgery, branched covers, and pencils on elliptic surfaces1
Turning vector bundles1
Cofibrantly generated model structures for functor calculus1
Orbifolds, orbispaces and global homotopy theory1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Projective modules and the homotopy classification of (G,n)–complexes1
Anchored foams and annular homology1
Homological polynomial coefficients and the twist number of alternating surface links1
Horizontal decompositions, I1
Definition of the cord algebra of knots using Morse thoery1
An analogue of Milnor’s invariants for knots in 3–manifolds1
????–compactifiable manifolds which are not pseudocollarable1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
G∞–ring spectra and Moore spectra for β–rings1
A model for configuration spaces of points1
The real-oriented cohomology of infinite stunted projective spaces1
Staircase symmetries in Hirzebruch surfaces1
An obstruction theory for strictly commutative algebras in positive characteristic1
Noncommutative divergence and the Turaev cobracket1
The rational abelianization of the Chillingworth subgroup of the mapping class group of a surface1
The cohomology of biquotients via a product on the two-sided bar construction1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Linear upper bounds on ribbonlength of knots and links1
Simple balanced three-manifolds, Heegaard Floer homology and the Andrews–Curtis conjecture1
Connective models for topological modular forms of level n1
Morse elements in Garside groups are strongly contracting1
Alternative versions of the Johnson homomorphisms and the LMO functor1
Mapping class groups of surfaces with noncompact boundary components1
On the structure of the RO(G)-graded homotopy of HM for cyclic p-groups1
On the invariance of the Dowlin spectral sequence1
Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces1
Symmetry in the cubical Joyal model structure1
Slope norm and an algorithm to compute the crosscap number1
1
Free algebras through Day convolution1
Constrained knots in lens spaces1
New results on tilings via cup products and Chern characters on tiling spaces1
Subgroups of direct products of limit groups over Droms RAAGs1
1
Operadic actions on long knots and 2–string links1
A note on rational maps with three branching points on the Riemann sphere1
Annular Khovanov homology and augmented links1
Legendrian large cables and new phenomenon for nonuniformly thick knots1
On measurings of algebras over operads and homology theories1
Classifying rational G–spectra for profinite G1
On contact mapping classes of prequantizations1
Classification of torus bundles that bound rational homology circles1
Computations on cobordism groups of projected immersions1
An algorithmic discrete gradient field and the cohomology algebra of configuration spaces of two points on complete graphs1
Modular links: bunch algorithm and upper volume bounds1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
Cocycles of the space of long embeddings and BCR graphs with more than one loop1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Relations amongst twists along Montesinos twins in the 4-sphere1
Milnor invariants of braids and welded braids up to homotopy1
A generalization of moment-angle manifolds with noncontractible orbit spaces1
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