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 2021-08-01 to 2025-08-01.)
ArticleCitations
The multiplicative structures on motivic homotopy groups12
Quasi-isometric rigidity of subgroups and filtered ends10
On some p–differential graded link homologies, II9
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 18
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups7
Homotopy types of suspended 4–manifolds7
Geometrically bounding 3–manifolds, volume and Betti numbers6
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
The handlebody group and the images of the second Johnson homomorphism6
Chow–Witt rings of Grassmannians6
Powers of Dehn twists generating right-angled Artin groups6
Nonslice linear combinations of iterated torus knots6
5
Fourier transforms and integer homology cobordism5
Slice genus bound in DTS2 from s–invariant5
On k-invariants for (∞,n)-categories5
Configurations of noncollinear points in the projective plane5
The space of nonextendable quasimorphisms5
Index-bounded relative symplectic cohomology5
The Hurewicz theorem in homotopy type theory4
2–Segal objects and the Waldhausen construction4
Convexity in hierarchically hyperbolic spaces4
Loop homotopy of 6–manifolds over 4–manifolds4
Steenrod problem and some graded Stanley–Reisner rings4
Nielsen equivalence in Fuchsian groups4
Unstable modules with only the top k Steenrod operations4
Picard groups and duality for real Morava E–theories4
The topological slice genus of satellite knots4
On keen weakly reducible bridge spheres4
4
Homotopy classification of 4–manifolds whose fundamental group is dihedral4
A basis for the Kauffman skein module of the product of a surface and a circle3
Finite presentations for stated skein algebras and lattice gauge field theory3
Module structure of the homology of right-angled Artin kernels3
Analytic approach to S1–equivariant Morse inequalities3
ℤk–stratifolds3
Rigidification of cubical quasicategories3
Free and based path groupoids3
A Leray–Serre spectral sequence for Lagrangian Floer theory3
Generalized Long–Moody functors3
Smallest nonabelian quotients of surface braid groups3
Projective naturality in Heegaard Floer homology3
Projection complexes and quasimedian maps3
Lower bounds for volumes and orthospectra of hyperbolic manifolds with geodesic boundary3
Sequential parametrized topological complexity and related invariants3
On symplectic fillings of small Seifert 3–manifolds3
3
Splitting Madsen–Tillmann spectra, II : The Steinberg idempotents and Whitehead conjecture2
The rank filtration via a filtered bar construction2
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds2
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory2
Hierarchical hyperbolicity of graphs of multicurves2
Embedding calculus for surfaces2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Smooth constructions of homotopy-coherent actions2
Morse–Bott cohomology from homological perturbation theory2
GKM manifolds are not rigid2
2
On the involutive Heegaard Floer homology of negative semidefinite plumbed 3-manifolds with b1= 12
Mod 2 power operations revisited2
Equivariant fundamental classes in RO(C2)–graded cohomology with ℤ∕2–coefficients2
The Kakimizu complex for genus one hyperbolic knots in the 3-sphere2
Coxeter systems with 2–dimensional Davis complexes, growth rates and Perron numbers2
Cubulating a free-product-by-cyclic group2
Combinatorial proof of Maslov index formula in Heegaard Floer theory2
Infinitely many arithmetic alternating links2
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds2
2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Ascent concordance2
External Spanier–Whitehead duality and homology representation theorems for diagram spaces2
No homotopy 4–sphere invariants using ECH=SWF2
Formal contact categories2
Vector fields on noncompact manifolds2
Barcode embeddings for metric graphs2
The minimal genus of homology classes in a finite 2–complex2
Planar Legendrian graphs2
The Burau representation and shapes of polyhedra2
Geodesics in the mapping class group2
The strong Haken theorem via sphere complexes2
Height four formal groups with quadratic complex multiplication2
Geometric triangulations and highly twisted links2
Classifying spaces of infinity-sheaves2
Bigrading the symplectic Khovanov cohomology2
2
Wall-crossing from Lagrangian cobordisms2
Milnor–Witt motivic cohomology of complements of hyperplane arrangements2
Circular-orderability of 3-manifold groups2
Persistently foliar composite knots2
Cohomological and geometric invariants of simple complexes of groups2
Rigidity at infinity for the Borel function of the tetrahedral reflection lattice2
Geometric triangulations of a family of hyperbolic 3–braids2
Chromatic (co)homology of finite general linear groups2
Complex hypersurfaces in direct products of Riemann surfaces2
On the positivity of twisted L2–torsion for 3–manifolds2
Asymptotic dimension of graphs of groups and one-relator groups2
Bounded cohomology of classifying spaces for families of subgroups2
On the wheeled PROP of stable cohomology of Aut(Fn) with bivariant coefficients2
On finitely generated normal subgroups of Kähler groups2
The homotopy type of elliptic arrangements2
Hyperbolic groups with logarithmic separation profile2
Branched covers bounding rational homology balls2
Hamiltonian classification of toric fibres and symmetric probes1
Special eccentricities of rational four-dimensional ellipsoids1
Embedding closed hyperbolic 3–manifolds in small volume hyperbolic 4–manifolds1
The existence of a universal transverse knot1
On the functoriality of ????????2 tangle homology1
A scanning algorithm for odd Khovanov homology1
Higher homotopy invariants for spaces and maps1
Connective models for topological modular forms of level n1
Pushouts of Dwyer maps are (∞,1)–categorical1
Alternating links with totally geodesic checkerboard surfaces1
Free algebras through Day convolution1
On the cohomology ring of symplectic fillings1
Iterated traces in 2–categories and Lefschetz theorems1
Weave-realizability for D–type1
Closed subsets of a CAT(0) 2–complex are intrinsically CAT(0)1
Regluing graphs of free groups1
Chern character for infinity vector bundles1
A topological construction of families of Galois covers of the line1
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case1
Profinite isomorphisms and fixed-point properties1
The H????2–homology of C2–equivariant Eilenberg–Mac Lane spaces1
The localization spectral sequence in the motivic setting1
Classification of torus bundles that bound rational homology circles1
Extension DGAs and topological Hochschild homology1
Classifying rational G–spectra for profinite G1
Maximal knotless graphs1
The diameter of random Belyĭ surfaces1
Torsion models for tensor-triangulated categories: the one-step case1
Morse elements in Garside groups are strongly contracting1
Rectification of interleavings and a persistent Whitehead theorem1
A model for configuration spaces of points1
The localization of orthogonal calculus with respect to homology1
On unknotting tunnel systems of satellite chain links1
Discontinuous motions of limit sets1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
Bialgebraic approach to rack cohomology1
On the secondary Upsilon invariant1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Relations amongst twists along Montesinos twins in the 4-sphere1
Handlebody bundles and polytopes1
Augmentations and ruling polynomials for Legendrian graphs1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Spun normal surfaces in 3–manifolds, I : 1–efficient triangulations1
Stable subgroups of the genus 2 handlebody group1
????–compactifiable manifolds which are not pseudocollarable1
What are GT–shadows ?1
Two-dimensional extended homotopy field theories1
Geodesic complexity of homogeneous Riemannian manifolds1
A generalization of moment-angle manifolds with noncontractible orbit spaces1
Presentations of the Roger–Yang generalized skein algebra1
Invariance of immersed Floer cohomology under Maslov flows1
Symmetric homotopy theory for operads1
Trisections of 3–manifold bundles over S11
An explicit comparison between 2–complicial sets and Θ2–spaces1
Realising π∗eR–algebras by global ring spectra1
Bridge trisections and Seifert solids1
On the invariance of the Dowlin spectral sequence1
An analogue of Milnor’s invariants for knots in 3–manifolds1
Topological finiteness properties of monoids, I: Foundations1
The Alexandrov theorem for 2 + 1 flat radiant spacetimes1
Macroscopic band width inequalities1
1
An algorithmic definition of Gabai width1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Mapping class groups of surfaces with noncompact boundary components1
Subgroups of direct products of limit groups over Droms RAAGs1
Leighton’s theorem and regular cube complexes1
Slope norm and an algorithm to compute the crosscap number1
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization1
Definition of the cord algebra of knots using Morse thoery1
An embedding of the Morse boundary in the Martin boundary1
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces1
New bounds on maximal linkless graphs1
Verdier duality on conically smooth stratified spaces1
1
Homological stability for moduli spaces of disconnected submanifolds, I1
Augmentations and link group representations1
1
On measurings of algebras over operads and homology theories1
On homotopy groups of EChG24∧A11
Unchaining surgery, branched covers, and pencils on elliptic surfaces1
Turning vector bundles1
Upper bounds for the Lagrangian cobordism relation on Legendrian links1
Enriched quasicategories and the templicial homotopy coherent nerve1
Asymptotic behavior of the colored Jones polynomials and Turaev–Viro invariants of the figure eight knot1
Filling braided links with trisected surfaces1
Relative Khovanov–Jacobsson classes1
Configuration spaces of squares in a rectangle1
Alternative versions of the Johnson homomorphisms and the LMO functor1
Projective modules and the homotopy classification of (G,n)–complexes1
1
Presentations for cusped arithmetic hyperbolic lattices1
Generalizing quasicategories via model structures on simplicial sets1
The bridge number of arborescent links with many twigs1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
1
Colored Jones polynomials without tails1
Parametrized higher category theory1
Simple embeddings of rational homology balls and antiflips1
Coloring invariants of knots and links are often intractable1
Constrained knots in lens spaces1
Ribbon 2–knot groups of Coxeter type1
The real-oriented cohomology of infinite stunted projective spaces1
Moduli spaces of geometric graphs1
Equivariantly slicing strongly negative amphichiral knots1
Milnor invariants of braids and welded braids up to homotopy1
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary1
Homological polynomial coefficients and the twist number of alternating surface links1
Annular Khovanov homology and augmented links1
Dimension of representation and character varieties for two- and three-orbifolds1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
Homotopy types of gauge groups over Riemann surfaces1
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