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 2021-11-01 to 2025-11-01.)
ArticleCitations
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)10
Quasi-isometric rigidity of subgroups and filtered ends8
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups8
Geometrically bounding 3–manifolds, volume and Betti numbers8
On some p–differential graded link homologies, II7
A connection between cut locus, Thom space and Morse–Bott functions7
The multiplicative structures on motivic homotopy groups7
Homotopy types of suspended 4–manifolds7
On k-invariants for (∞,n)-categories6
Chow–Witt rings of Grassmannians6
The handlebody group and the images of the second Johnson homomorphism6
Nonslice linear combinations of iterated torus knots6
5
The space of nonextendable quasimorphisms5
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 15
On keen weakly reducible bridge spheres5
Fourier transforms and integer homology cobordism5
Slice genus bound in DTS2 from s–invariant5
The right angled Artin group functor as a categorical embedding4
The topological slice genus of satellite knots4
4
On symplectic fillings of small Seifert 3–manifolds4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
The homotopy type of the PL cobordism category, II4
Convexity in hierarchically hyperbolic spaces4
Unstable modules with only the top k Steenrod operations4
Sequential parametrized topological complexity and related invariants4
Nielsen equivalence in Fuchsian groups4
Steenrod problem and some graded Stanley–Reisner rings4
The Hurewicz theorem in homotopy type theory4
Analytic approach to S1–equivariant Morse inequalities4
Index-bounded relative symplectic cohomology4
Mod 2 power operations revisited3
A basis for the Kauffman skein module of the product of a surface and a circle3
Geometric and arithmetic properties of Löbell polyhedra3
3
Projection complexes and quasimedian maps3
Generalized Long–Moody functors3
Bounded cohomology of classifying spaces for families of subgroups3
On finitely generated normal subgroups of Kähler groups3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Loop homotopy of 6–manifolds over 4–manifolds3
Projective naturality in Heegaard Floer homology3
ℤk–stratifolds3
Rigidification of cubical quasicategories3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Geometric triangulations and highly twisted links3
Equivariant cohomology of projective spaces3
Module structure of the homology of right-angled Artin kernels3
Action of the Mazur pattern up to topological concordance3
Picard groups and duality for real Morava E–theories3
Smallest nonabelian quotients of surface braid groups3
Free and based path groupoids3
Finite presentations for stated skein algebras and lattice gauge field theory3
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers3
Hyperbolic groups with logarithmic separation profile3
Embedding calculus for surfaces2
On the positivity of twisted L2–torsion for 3–manifolds2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Geodesics in the mapping class group2
The Burau representation and shapes of polyhedra2
Whitney tower concordance and knots in homology spheres2
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces2
Generating the liftable mapping class groups of cyclic covers of spheres2
Bigrading the symplectic Khovanov cohomology2
2
Geometric triangulations of a family of hyperbolic 3–braids2
Equivariant fundamental classes in RO(C2)–graded cohomology with ℤ∕2–coefficients2
2
Persistently foliar composite knots2
Surgery sequences and self-similarity of the Mandelbrot set2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
GKM manifolds are not rigid2
Vector fields on noncompact manifolds2
Infinitely many arithmetic alternating links2
2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Cohomological and geometric invariants of simple complexes of groups2
Ascent concordance2
Circular-orderability of 3-manifold groups2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
Holomorphic polygons and the bordered Heegaard Floer homology of link complements2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Planar Legendrian graphs2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
The strong Haken theorem via sphere complexes2
The rank filtration via a filtered bar construction2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Morse–Bott cohomology from homological perturbation theory2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Cubulating a free-product-by-cyclic group2
Branched covers bounding rational homology balls2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Hierarchical hyperbolicity of graphs of multicurves2
Smooth constructions of homotopy-coherent actions2
Warped product metrics on hyperbolic and complex hyperbolic manifolds2
Asymptotic dimension of graphs of groups and one-relator groups2
Classifying spaces of infinity-sheaves2
Rank-preserving additions for topological vector bundles, after a construction of Horrocks2
Complex hypersurfaces in direct products of Riemann surfaces2
New bounds on maximal linkless graphs2
2
Harmonic measures and rigidity for surface group actions on the circle2
Wall-crossing from Lagrangian cobordisms2
The minimal genus of homology classes in a finite 2–complex2
Chromatic (co)homology of finite general linear groups2
Formal contact categories2
Handlebody bundles and polytopes1
The existence of a universal transverse knot1
Parametrized higher category theory1
Projective modules and the homotopy classification of (G,n)–complexes1
1
Topological finiteness properties of monoids, I: Foundations1
What are GT–shadows ?1
An analogue of Milnor’s invariants for knots in 3–manifolds1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Ribbon 2–knot groups of Coxeter type1
The bridge number of arborescent links with many twigs1
Colored Jones polynomials without tails1
Homotopy types of gauge groups over Riemann surfaces1
Special eccentricities of rational four-dimensional ellipsoids1
Classifying rational G–spectra for profinite G1
Classification of torus bundles that bound rational homology circles1
Mapping class groups of surfaces with noncompact boundary components1
Stable subgroups of the genus 2 handlebody group1
An embedding of the Morse boundary in the Martin boundary1
Hamiltonian classification of toric fibres and symmetric probes1
The localization spectral sequence in the motivic setting1
The localization of orthogonal calculus with respect to homology1
1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
On measurings of algebras over operads and homology theories1
Filling braided links with trisected surfaces1
The homotopy type of the PL cobordism category, I1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
The Curtis–Wellington spectral sequence through cohomology1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
Kauffman bracket intertwiners and the volume conjecture1
An algorithmic definition of Gabai width1
A generalization of moment-angle manifolds with noncontractible orbit spaces1
Alternating links with totally geodesic checkerboard surfaces1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
On homotopy groups of EChG24∧A11
A topological construction of families of Galois covers of the line1
The real-oriented cohomology of infinite stunted projective spaces1
Bridge trisections and Seifert solids1
Presentations for cusped arithmetic hyperbolic lattices1
A note on embeddings of 3-manifolds in symplectic 4-manifolds1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
On the functoriality of ????????2 tangle homology1
Subgroups of direct products of limit groups over Droms RAAGs1
1
Generalizing quasicategories via model structures on simplicial sets1
On the invariance of the Dowlin spectral sequence1
Constrained knots in lens spaces1
On the cohomology ring of symplectic fillings1
Enriched quasicategories and the templicial homotopy coherent nerve1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Homological polynomial coefficients and the twist number of alternating surface links1
On unknotting tunnel systems of satellite chain links1
Annular Khovanov homology and augmented links1
A model for configuration spaces of points1
Moduli spaces of geometric graphs1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Dimension of representation and character varieties for two- and three-orbifolds1
Presentations of the Roger–Yang generalized skein algebra1
Bialgebraic approach to rack cohomology1
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary1
Noncommutative divergence and the Turaev cobracket1
Horizontal decompositions, II1
Connective models for topological modular forms of level n1
Leighton’s theorem and regular cube complexes1
The slices of quaternionic Eilenberg–Mac Lane spectra1
Geodesic complexity of homogeneous Riemannian manifolds1
Alternative versions of the Johnson homomorphisms and the LMO functor1
The diameter of random Belyĭ surfaces1
Two-dimensional extended homotopy field theories1
Morse elements in Garside groups are strongly contracting1
Regluing graphs of free groups1
An explicit comparison between 2–complicial sets and Θ2–spaces1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Profinite isomorphisms and fixed-point properties1
Pushouts of Dwyer maps are (∞,1)–categorical1
Discontinuous motions of limit sets1
Relative Khovanov–Jacobsson classes1
Extension DGAs and topological Hochschild homology1
Turning vector bundles1
Definition of the cord algebra of knots using Morse thoery1
Macroscopic band width inequalities1
A scanning algorithm for odd Khovanov homology1
Chern character for infinity vector bundles1
1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
A note on knot Floer homology of satellite knots with (1,1)-patterns1
Slope norm and an algorithm to compute the crosscap number1
Equivariantly slicing strongly negative amphichiral knots1
Maximal knotless graphs1
Milnor invariants of braids and welded braids up to homotopy1
Powell’s conjecture on the Goeritz group of S3 is stably true1
Rectification of interleavings and a persistent Whitehead theorem1
Relations amongst twists along Montesinos twins in the 4-sphere1
The generalized Kauffman–Harary conjecture is true1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Computations on cobordism groups of projected immersions1
Trisections of 3–manifold bundles over S11
Torsion models for tensor-triangulated categories: the one-step case1
Verdier duality on conically smooth stratified spaces1
Iterated traces in 2–categories and Lefschetz theorems1
Augmentations and link group representations1
Asymptotic cones of snowflake groups and the strong shortcut property1
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