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 2021-04-01 to 2025-04-01.)
ArticleCitations
Knot Floer homology, link Floer homology and link detection8
Automorphismes du groupe des automorphismes d’un groupe de Coxeter universel7
Ascent concordance6
Geometric limits of cyclic subgroups of SO0(1,k + 1) and SU(1,k + 1)6
Powers of Dehn twists generating right-angled Artin groups6
Nontrivial Steenrod squares on prime, hyperbolic and satellite knots6
A connection between cut locus, Thom space and Morse–Bott functions5
5
Barcode embeddings for metric graphs5
The handlebody group and the images of the second Johnson homomorphism5
A model structure for weakly horizontally invariant double categories5
Presentations of the Roger–Yang generalized skein algebra5
5
A construction of pseudo-Anosov homeomorphisms using positive twists5
Computing the Morava K–theory of real Grassmannians using chromatic fixed point theory4
On the decategorification of some higher actions in Heegaard Floer homology4
Milnor–Witt motivic cohomology of complements of hyperplane arrangements4
Slope gap distributions of Veech surfaces4
Round fold maps on 3–manifolds4
Filling braided links with trisected surfaces4
4
The Spk,n–local stable homotopy category4
A vanishing identity of adjoint Reidemeister torsions of twist knots3
Homotopy types of gauge groups over Riemann surfaces3
Simple embeddings of rational homology balls and antiflips3
Quasi-isometric rigidity of subgroups and filtered ends3
On unknotting tunnel systems of satellite chain links3
Minimal genus problem for T2–bundles over surfaces3
Distinguishing Legendrian knots with trivial orientation-preserving symmetry group3
Moduli spaces of Hecke modifications for rational and elliptic curves3
Coloring invariants of knots and links are often intractable3
Infinite families of higher torsion in the homotopy groups of Moore spaces3
Smooth one-dimensional topological field theories are vector bundles with connection3
3
The homotopy type of elliptic arrangements3
Rational homotopy equivalences and singular chains3
Intrinsic symmetry groups of links3
Equivariant cohomological rigidity of certain T–manifolds3
Persistently foliar composite knots3
Macroscopic band width inequalities3
Actions of solvable Baumslag–Solitar groups on hyperbolic metric spaces3
On the cohomology ring of symplectic fillings3
What are GT–shadows ?2
A qualitative description of the horoboundary of the Teichmüller metric2
Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case2
Projective twists and the Hopf correspondence2
The localization spectral sequence in the motivic setting2
Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 12
Manifolds with small topological complexity2
Rectification of interleavings and a persistent Whitehead theorem2
Correction to the article Hopf ring structure on the mod p cohomology of symmetric groups2
Geometrically bounding 3–manifolds, volume and Betti numbers2
Homotopy types of suspended 4–manifolds2
Asymptotic dimensions of the arc graphs and disk graphs2
Finite presentations of the mapping class groups of once-stabilized Heegaard splittings2
Strongly shortcut spaces2
A lower bound on the stable 4–genus of knots2
Maximal knotless graphs2
Homotopy ribbon discs with a fixed group2
Classical homological stability from the point of view of cells2
Foliated open books2
On some p–differential graded link homologies, II2
A mnemonic for the Lipshitz–Ozsváth–Thurston correspondence2
Remarks on symplectic circle actions, torsion and loops2
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization2
Formal contact categories2
Nonslice linear combinations of iterated torus knots2
Chow–Witt rings of Grassmannians2
Wall-crossing from Lagrangian cobordisms2
A Bauer–Furuta-type refinement of Kronheimer and Mrowka’s invariant for 4–manifolds with contact boundary2
The multiplicative structures on motivic homotopy groups2
Combinatorial parametrised spectra2
2
Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor2
Mapping class groups of surfaces with noncompact boundary components2
Moduli spaces of geometric graphs2
Neighboring mapping points theorem2
2
On products of beta and gamma elements in the homotopy of the first Smith–Toda spectrum2
Parametrized higher category theory1
Classical shadows of stated skein representations at roots of unity1
Cheeger–Gromoll splitting theorem for groups1
Augmentations and ruling polynomials for Legendrian graphs1
An embedding of the Morse boundary in the Martin boundary1
Property (QT) for 3-manifold groups1
Relatively geometric actions of Kähler groups on CAT(0) cube complexes1
Limits of sequences of pseudo-Anosov maps and of hyperbolic 3–manifolds1
Connective models for topological modular forms of level n1
Spectral diameter of Liouville domains1
Asymptotic behavior of the colored Jones polynomials and Turaev–Viro invariants of the figure eight knot1
Gluck twisting roll spun knots1
Classifying rational G–spectra for profinite G1
The persistent topology of optimal transport based metric thickenings1
On the secondary Upsilon invariant1
Morse elements in Garside groups are strongly contracting1
Nielsen equivalence in Fuchsian groups1
On the invariance of the Dowlin spectral sequence1
Intersection homology duality and pairings: singular, PL and sheaf-theoretic1
Towards a higher-dimensional construction of stable/unstable Lagrangian laminations1
1
1
Milnor invariants of braids and welded braids up to homotopy1
Annular Khovanov homology and augmented links1
Hyperbolic homology 3–spheres from drum polyhedra1
2–Segal objects and the Waldhausen construction1
A reduction of the string bracket to the loop product1
Operads in unstable global homotopy theory1
1
The homology of a Temperley–Lieb algebra on an odd number of strands1
Slopes and concordance of links1
Fourier transforms and integer homology cobordism1
1
An algebraic C2–equivariant Bézout theorem1
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3–manifolds1
Constraints on families of smooth 4–manifolds from Pin−(2)–monopole1
The topological slice genus of satellite knots1
Minimal surfaces with arbitrary topology in ℍ2× ℝ1
Topological finiteness properties of monoids, I: Foundations1
The Heisenberg double of involutory Hopf algebras and invariants of closed 3–manifolds1
Homological stability for moduli spaces of disconnected submanifolds, I1
The bridge number of arborescent links with many twigs1
The Hurewicz theorem in homotopy type theory1
Augmentations and link group representations1
On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3–manifolds1
On keen weakly reducible bridge spheres1
Thom spectra, higher THH and tensors in ∞–categories1
Chern character for infinity vector bundles1
A quantum invariant of links in T2× I with volume conjecture behavior1
Right-angled Artin subgroups of right-angled Coxeter and Artin groups1
Index-bounded relative symplectic cohomology1
Symmetries and hidden symmetries of (????,dL)–twisted knot complements1
The localization of orthogonal calculus with respect to homology1
A bivariant Yoneda lemma and (∞,2)–categories of correspondences1
1
Proper 2–equivalences between infinite ended finitely presented groups1
Representation stability for homotopy automorphisms1
Configurations of noncollinear points in the projective plane1
1
Convexity in hierarchically hyperbolic spaces1
A spectral sequence for spaces of maps between operads1
Heegaard Floer homology, knotifications of links, and plane curves with noncuspidal singularities1
An exotic presentation of ℤ × ℤ and the Andrews–Curtis conjecture1
Topologically isotopic and smoothly inequivalent 2–spheres in simply connected 4–manifolds whose complement has a prescribed fundamental group1
A–infinity algebras, strand algebras, and contact categories1
A uniformizable spherical CR structure on a two-cusped hyperbolic 3–manifold1
Smooth singular complexes and diffeological principal bundles1
Topology and geometry of flagness and beltness of simple handlebodies1
Free algebras through Day convolution1
New bounds on maximal linkless graphs1
Profinite isomorphisms and fixed-point properties1
Cusps and commensurability classes of hyperbolic 4–manifolds1
Slice genus bound in DTS2 from s–invariant1
Cylindrical contact homology of 3–dimensional Brieskorn manifolds1
The rank filtration via a filtered bar construction1
The real-oriented cohomology of infinite stunted projective spaces1
On the surjectivity of the tmf–Hurewicz image of A11
Monoidal properties of Franke’s exotic equivalence1
Slope norm and an algorithm to compute the crosscap number1
Parabolic subgroups acting on the additional length graph1
The existence of a universal transverse knot1
Realization of graded monomial ideal rings modulo torsion1
Constructions stemming from nonseparating planar graphs and their Colin de Verdière invariant1
Cartesian fibrations of (∞,2)–categories1
Strict algebraic models for rational parametrised spectra, I1
Steenrod problem and some graded Stanley–Reisner rings1
Cohomology of quotients in real symplectic geometry1
A scanning algorithm for odd Khovanov homology1
Algebraic and Giroux torsion in higher-dimensional contact manifolds1
Turning vector bundles1
1
Homotopy classification of 4–manifolds whose fundamental group is dihedral1
Turaev hyperbolicity of classical and virtual knots1
Most big mapping class groups fail the Tits alternative1
Adequate links in thickened surfaces and the generalized Tait conjectures1
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