Algebraic and Geometric Topology

Papers
(The TQCC of Algebraic and Geometric Topology is 1. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)13
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups8
Geometrically bounding 3–manifolds, volume and Betti numbers8
Quasi-isometric rigidity of subgroups and filtered ends8
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 17
The multiplicative structures on motivic homotopy groups7
Chow–Witt rings of Grassmannians7
Nonslice linear combinations of iterated torus knots7
On some p–differential graded link homologies, II7
Algebras for enriched ∞-operads6
The handlebody group and the images of the second Johnson homomorphism6
On k-invariants for (∞,n)-categories5
Atiyah–Segal completion for the Hermitian K-theory of symplectic groups5
Classification of metric fibrations5
The space of nonextendable quasimorphisms5
Pre-Lie algebras with divided powers and the Deligne groupoid in positive characteristic4
Fourier transforms and integer homology cobordism4
On keen weakly reducible bridge spheres4
The Hurewicz theorem in homotopy type theory4
Index-bounded relative symplectic cohomology4
A connection between cut locus, Thom space and Morse–Bott functions4
Slice genus bound in DTS2 from s–invariant4
The right angled Artin group functor as a categorical embedding4
The topological slice genus of satellite knots4
Convexity in hierarchically hyperbolic spaces4
4
Homotopy types of suspended 4–manifolds4
Nielsen equivalence in Fuchsian groups4
The homotopy type of the PL cobordism category, II4
Steenrod problem and some graded Stanley–Reisner rings4
Projective naturality in Heegaard Floer homology3
ℤk–stratifolds3
Sequential parametrized topological complexity and related invariants3
Homotopy classification of 4–manifolds whose fundamental group is dihedral3
Projection complexes and quasimedian maps3
Geometric and arithmetic properties of Löbell polyhedra3
Hyperbolic groups with logarithmic separation profile3
Finite presentations for stated skein algebras and lattice gauge field theory3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Rigidification of cubical quasicategories3
Smallest nonabelian quotients of surface braid groups3
Analytic approach to S1–equivariant Morse inequalities3
Generalized Long–Moody functors3
On the topology of character varieties of once-punctured torus bundles3
On finitely generated normal subgroups of Kähler groups3
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers3
Free and based path groupoids3
3
On symplectic fillings of small Seifert 3–manifolds3
3
Action of the Mazur pattern up to topological concordance3
Geometric triangulations and highly twisted links3
Mod 2 power operations revisited3
Module structure of the homology of right-angled Artin kernels3
Loop homotopy of 6–manifolds over 4–manifolds3
Linear bounds of the crosscap number of knots2
Vector fields on noncompact manifolds2
Bounded cohomology of classifying spaces for families of subgroups2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Multitwists in big mapping class groups2
On the positivity of twisted L2–torsion for 3–manifolds2
2
Geometric triangulations of a family of hyperbolic 3–braids2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Asymptotic dimension of graphs of groups and one-relator groups2
Surgery sequences and self-similarity of the Mandelbrot set2
Infinitely many arithmetic alternating links2
Wall-crossing from Lagrangian cobordisms2
Warped product metrics on hyperbolic and complex hyperbolic manifolds2
Formal contact categories2
Whitney tower concordance and knots in homology spheres2
Classifying spaces of infinity-sheaves2
Cubulating a free-product-by-cyclic group2
Complex hypersurfaces in direct products of Riemann surfaces2
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces2
The strong Haken theorem via sphere complexes2
Embedding calculus for surfaces2
Equivariant cohomology of projective spaces2
GKM manifolds are not rigid2
The Burau representation and shapes of polyhedra2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
The minimal genus of homology classes in a finite 2–complex2
The rank filtration via a filtered bar construction2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Braided multitwists2
Chromatic (co)homology of finite general linear groups2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Morse–Bott cohomology from homological perturbation theory2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Cohomological and geometric invariants of simple complexes of groups2
Holomorphic polygons and the bordered Heegaard Floer homology of link complements2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary2
2
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces2
Segalification and the Boardman–Vogt tensor product2
Rank-preserving additions for topological vector bundles, after a construction of Horrocks2
Smooth constructions of homotopy-coherent actions2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
New bounds on maximal linkless graphs2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
2
Circular-orderability of 3-manifold groups2
Harmonic measures and rigidity for surface group actions on the circle2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
Bigrading the symplectic Khovanov cohomology2
Product and coproduct on fixed point Floer homology of positive Dehn twists2
Generating the liftable mapping class groups of cyclic covers of spheres2
Hierarchical hyperbolicity of graphs of multicurves2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Planar Legendrian graphs2
Linear linkless embeddings: proof of a conjecture by Sachs2
Maximal knotless graphs1
The cohomology of biquotients via a product on the two-sided bar construction1
Filling braided links with trisected surfaces1
On the functoriality of ????????2 tangle homology1
Parametrized higher category theory1
1
Macroscopic band width inequalities1
Topological finiteness properties of monoids, I: Foundations1
Turning vector bundles1
Classification of genus-two surfaces in S31
The ????n-equivariant Euler characteristic of the moduli space of graphs1
Slope norm and an algorithm to compute the crosscap number1
Homological polynomial coefficients and the twist number of alternating surface links1
Extension DGAs and topological Hochschild homology1
Milnor invariants of braids and welded braids up to homotopy1
Asymptotic cones of snowflake groups and the strong shortcut property1
Presentations for cusped arithmetic hyperbolic lattices1
Two-dimensional extended homotopy field theories1
Dimension of representation and character varieties for two- and three-orbifolds1
Regluing graphs of free groups1
A group-theoretic framework for low-dimensional topology, or: how not to study low-dimensional topology?1
Chern character for infinity vector bundles1
Stable subgroups of the genus 2 handlebody group1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
Definition of the cord algebra of knots using Morse thoery1
A note on rational maps with three branching points on the Riemann sphere1
Kauffman bracket intertwiners and the volume conjecture1
Hamiltonian classification of toric fibres and symmetric probes1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
Classification of torus bundles that bound rational homology circles1
Relative Khovanov–Jacobsson classes1
On measurings of algebras over operads and homology theories1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
BNSR-invariants of surface Houghton groups1
Subgroups of direct products of limit groups over Droms RAAGs1
Connective models for topological modular forms of level n1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Iterated traces in 2–categories and Lefschetz theorems1
The existence of a universal transverse knot1
On the cohomology ring of symplectic fillings1
Profinite isomorphisms and fixed-point properties1
Classifying rational G–spectra for profinite G1
Homological stability for the ribbon Higman–Thompson groups1
An embedding of the Morse boundary in the Martin boundary1
Colored Jones polynomials without tails1
On homotopy groups of EChG24∧A11
Ribbon 2–knot groups of Coxeter type1
The localization of orthogonal calculus with respect to homology1
A topological construction of families of Galois covers of the line1
Leighton’s theorem and regular cube complexes1
A scanning algorithm for odd Khovanov homology1
On the invariance of the Dowlin spectral sequence1
An algorithmic definition of Gabai width1
Mapping class groups of surfaces with noncompact boundary components1
Equivariantly slicing strongly negative amphichiral knots1
Geodesic complexity of homogeneous Riemannian manifolds1
The Curtis–Wellington spectral sequence through cohomology1
A model for configuration spaces of points1
Moduli spaces of geometric graphs1
Bridge trisections and Seifert solids1
Powell’s conjecture on the Goeritz group of S3 is stably true1
What are GT–shadows ?1
Cofibrantly generated model structures for functor calculus1
Intersection norms on surfaces and Birkhoff sections for geodesic flows1
Horizontal decompositions, II1
Bialgebraic approach to rack cohomology1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Flat fully augmented links are determined by their complements1
An explicit comparison between 2–complicial sets and Θ2–spaces1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
1
Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces1
Rectification of interleavings and a persistent Whitehead theorem1
Homotopy types of gauge groups over Riemann surfaces1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Constrained knots in lens spaces1
Characterizations of stability via Morse limit sets1
Annular Khovanov homology and augmented links1
1
Enriched quasicategories and the templicial homotopy coherent nerve1
Generalizing quasicategories via model structures on simplicial sets1
The real-oriented cohomology of infinite stunted projective spaces1
A note on knot Floer homology of satellite knots with (1,1)-patterns1
Torsion models for tensor-triangulated categories: the one-step case1
The localization spectral sequence in the motivic setting1
Twisted spectra revisited1
On unknotting tunnel systems of satellite chain links1
Projective modules and the homotopy classification of (G,n)–complexes1
Special eccentricities of rational four-dimensional ellipsoids1
A note on embeddings of 3-manifolds in symplectic 4-manifolds1
An analogue of Milnor’s invariants for knots in 3–manifolds1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Pushouts of Dwyer maps are (∞,1)–categorical1
1
A minimality property for knots without Khovanov 2-torsion1
Relations amongst twists along Montesinos twins in the 4-sphere1
The generalized Kauffman–Harary conjecture is true1
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