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 2021-09-01 to 2025-09-01.)
ArticleCitations
The multiplicative structures on motivic homotopy groups10
Quasi-isometric rigidity of subgroups and filtered ends9
On some p–differential graded link homologies, II8
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 17
Geometrically bounding 3–manifolds, volume and Betti numbers6
Homotopy types of suspended 4–manifolds6
A connection between cut locus, Thom space and Morse–Bott functions6
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)6
Chow–Witt rings of Grassmannians6
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups6
The space of nonextendable quasimorphisms5
Nonslice linear combinations of iterated torus knots5
The handlebody group and the images of the second Johnson homomorphism5
5
On k-invariants for (∞,n)-categories5
The Hurewicz theorem in homotopy type theory4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
On keen weakly reducible bridge spheres4
Convexity in hierarchically hyperbolic spaces4
Fourier transforms and integer homology cobordism4
Steenrod problem and some graded Stanley–Reisner rings4
Index-bounded relative symplectic cohomology4
Unstable modules with only the top k Steenrod operations4
Slice genus bound in DTS2 from s–invariant4
The topological slice genus of satellite knots4
Nielsen equivalence in Fuchsian groups4
4
A basis for the Kauffman skein module of the product of a surface and a circle3
Smallest nonabelian quotients of surface braid groups3
Projective naturality in Heegaard Floer homology3
Sequential parametrized topological complexity and related invariants3
Action of the Mazur pattern up to topological concordance3
Picard groups and duality for real Morava E–theories3
On symplectic fillings of small Seifert 3–manifolds3
3
Rigidification of cubical quasicategories3
Projection complexes and quasimedian maps3
Finite presentations for stated skein algebras and lattice gauge field theory3
Loop homotopy of 6–manifolds over 4–manifolds3
Analytic approach to S1–equivariant Morse inequalities3
ℤk–stratifolds3
Generalized Long–Moody functors3
Geometric and arithmetic properties of Löbell polyhedra3
Free and based path groupoids3
A Leray–Serre spectral sequence for Lagrangian Floer theory2
The strong Haken theorem via sphere complexes2
GKM manifolds are not rigid2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Persistently foliar composite knots2
Rank-preserving additions for topological vector bundles, after a construction of Horrocks2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Cubulating a free-product-by-cyclic group2
Asymptotic dimension of graphs of groups and one-relator groups2
Bigrading the symplectic Khovanov cohomology2
Geodesics in the mapping class group2
Quillen homology of spectral Lie algebras with application to mod p homology of labeled configuration spaces2
Hierarchical hyperbolicity of graphs of multicurves2
On finitely generated normal subgroups of Kähler groups2
Morse–Bott cohomology from homological perturbation theory2
Cohomological and geometric invariants of simple complexes of groups2
Mod 2 power operations revisited2
Infinitely many arithmetic alternating links2
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
Wall-crossing from Lagrangian cobordisms2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
Formal contact categories2
On the positivity of twisted L2–torsion for 3–manifolds2
Vector fields on noncompact manifolds2
Embedding calculus for surfaces2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Planar Legendrian graphs2
Geometric triangulations of a family of hyperbolic 3–braids2
Classifying spaces of infinity-sheaves2
Bounded cohomology of classifying spaces for families of subgroups2
No homotopy 4–sphere invariants using ECH=SWF2
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
Hyperbolic groups with logarithmic separation profile2
The minimal genus of homology classes in a finite 2–complex2
Branched covers bounding rational homology balls2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Ascent concordance2
Smooth constructions of homotopy-coherent actions2
Height four formal groups with quadratic complex multiplication2
The Burau representation and shapes of polyhedra2
2
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
Complex hypersurfaces in direct products of Riemann surfaces2
Module structure of the homology of right-angled Artin kernels2
Chromatic (co)homology of finite general linear groups2
Circular-orderability of 3-manifold groups2
Equivariant fundamental classes in RO(C2)–graded cohomology with ℤ∕2–coefficients2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
Geometric triangulations and highly twisted links2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Extension DGAs and topological Hochschild homology1
The generalized Kauffman–Harary conjecture is true1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
A topological construction of families of Galois covers of the line1
Connective models for topological modular forms of level n1
Macroscopic band width inequalities1
Colored Jones polynomials without tails1
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds1
On the invariance of the Dowlin spectral sequence1
What are GT–shadows ?1
An analogue of Milnor’s invariants for knots in 3–manifolds1
The rank filtration via a filtered bar construction1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Equivariantly slicing strongly negative amphichiral knots1
New bounds on maximal linkless graphs1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Rectification of interleavings and a persistent Whitehead theorem1
Classification of torus bundles that bound rational homology circles1
Topological finiteness properties of monoids, I: Foundations1
Annular Khovanov homology and augmented links1
Homotopy types of gauge groups over Riemann surfaces1
1
Ribbon 2–knot groups of Coxeter type1
Verdier duality on conically smooth stratified spaces1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
Special eccentricities of rational four-dimensional ellipsoids1
1
Constrained knots in lens spaces1
Generalizing quasicategories via model structures on simplicial sets1
The localization of orthogonal calculus with respect to homology1
Enriched quasicategories and the templicial homotopy coherent nerve1
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary1
Pushouts of Dwyer maps are (∞,1)–categorical1
Projective modules and the homotopy classification of (G,n)–complexes1
On measurings of algebras over operads and homology theories1
Bridge trisections and Seifert solids1
Two-dimensional extended homotopy field theories1
The existence of a universal transverse knot1
1
An explicit comparison between 2–complicial sets and Θ2–spaces1
Alternating links with totally geodesic checkerboard surfaces1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Maximal knotless graphs1
Handlebody bundles and polytopes1
Harmonic measures and rigidity for surface group actions on the circle1
Chern character for infinity vector bundles1
Mapping class groups of surfaces with noncompact boundary components1
The diameter of random Belyĭ surfaces1
1
The real-oriented cohomology of infinite stunted projective spaces1
A model for configuration spaces of points1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
Milnor invariants of braids and welded braids up to homotopy1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Dimension of representation and character varieties for two- and three-orbifolds1
Geodesic complexity of homogeneous Riemannian manifolds1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
On the cohomology ring of symplectic fillings1
Hamiltonian classification of toric fibres and symmetric probes1
Torsion models for tensor-triangulated categories: the one-step case1
Computations on cobordism groups of projected immersions1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
Presentations for cusped arithmetic hyperbolic lattices1
Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds1
Iterated traces in 2–categories and Lefschetz theorems1
A scanning algorithm for odd Khovanov homology1
Turning vector bundles1
An algorithmic definition of Gabai width1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Relative Khovanov–Jacobsson classes1
Homological polynomial coefficients and the twist number of alternating surface links1
Presentations of the Roger–Yang generalized skein algebra1
Kauffman bracket intertwiners and the volume conjecture1
Trisections of 3–manifold bundles over S11
1
The localization spectral sequence in the motivic setting1
Regluing graphs of free groups1
Relations amongst twists along Montesinos twins in the 4-sphere1
The bridge number of arborescent links with many twigs1
Horizontal decompositions, II1
Discontinuous motions of limit sets1
1
Classifying rational G–spectra for profinite G1
Subgroups of direct products of limit groups over Droms RAAGs1
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds1
Slope norm and an algorithm to compute the crosscap number1
Moduli spaces of geometric graphs1
Definition of the cord algebra of knots using Morse thoery1
Profinite isomorphisms and fixed-point properties1
An embedding of the Morse boundary in the Martin boundary1
On unknotting tunnel systems of satellite chain links1
Bialgebraic approach to rack cohomology1
Parametrized higher category theory1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
Filling braided links with trisected surfaces1
Leighton’s theorem and regular cube complexes1
Augmentations and link group representations1
Invariance of immersed Floer cohomology under Maslov flows1
On homotopy groups of EChG24∧A11
On the functoriality of ????????2 tangle homology1
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor1
Stable subgroups of the genus 2 handlebody group1
Morse elements in Garside groups are strongly contracting1
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