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505 papers in math.GT · page 6

  1. math.QA 2026-04-02 reviewed
    Toral Chern-Simons matches Reshetikhin-Turaev via quadratic modules

    Equivalence of toral Chern-Simons and Reshetikhin-Turaev theories

    Daniel Galviz

  2. math.GR 2026-04-02 reviewed
    Universal virtual braid group contains finite-index Artin subgroup

    Universal virtual braid groups

    Oscar Ocampo

  3. math.GT 2026-04-01 reviewed
    Barbell maps generate all high-dim pseudo-isotopies with zero first invariant

    Cerf Diagrams and Hatcher-Wagoner Invariants for Barbell Maps

    Xiayu Tan

  4. math.AT 2026-03-31 reviewed
    Joker module yields 8D Poincaré duality space with PL structure

    Poincar\'e duality spaces related to the Joker

    Andrew Baker

  5. math.QA 2026-03-29 reviewed
    U(1) Chern-Simons TQFT matches Reshetikhin-Turaev at even level k

    Equivalence of Extended $U(1)$ Chern-Simons and Reshetikhin-Turaev TQFTs

    Daniel Galviz

  6. math.GT 2026-03-23 reviewed
    Non-smoothable surfaces exist in the 4-sphere

    Non-smoothable surfaces in the 4-sphere

    Anthony Conway +1

  7. hep-th 2026-03-23 reviewed
    SO(5) Racah matrices yield Kauffman polynomials

    Racah matrices for the symmetric representation of the SO(5) group

    Andrey Morozov

  8. math.GT 2026-03-20 reviewed
    Barbell maps yield infinitely many 3-knots in 5-space with four critical points

    Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms

    Seungwon Kim +2

  9. math.GR 2026-03-19 reviewed
    Lifting properties hold for 3-manifold and limit groups

    The Local Lifting Property, Property FD, and stability of approximate representations

    Francesco Fournier-Facio +1

  10. math.GR 2026-03-19 reviewed
    nV groups are torsion locally finite for every n

    On subgroups of Brin-Thompson groups $nV$

    Sadayoshi Kojima +1

  11. math.DG 2026-03-17 reviewed
    Spherical 3-manifolds arise as limits of flat SU(2)-bundles over hyperbolic surfaces

    Collapsing Flat ${\rm{SU}}(2)$-Bundles to Spherical 3-Manifolds

    Eder M. Correa

  12. math.GT 2026-03-16 reviewed
    Cluster algebra turns R-matrix into perturbed Alexander invariant

    Perturbed-Alexander Invariants via Quantum Cluster Algebras

    Boudewijn Bosch

  13. math.GT 2026-03-16 reviewed
    Cluster algebras perturb the Alexander polynomial for knots

    Perturbed-Alexander Invariants via Quantum Cluster Algebras

    Boudewijn Bosch

  14. math.GT 2026-03-15 reviewed
    Dehn twist conjugacy on three-point disk solved via torus homology

    Recognising conjugacy classes of Dehn twists on $\mathbb D_3$

    Ferihe Atalan +1

  15. math.GT 2026-03-15 reviewed
    Finite subgroups fix points on cluster manifolds

    Fixed point theorem for cluster modular groups

    Tsukasa Ishibashi

  16. math.CO 2026-03-13 reviewed
    Matching rules equal height functions via closed cochains

    Matching Rules as Cocycle Conditions: Discrete Potentials on Penrose and Canonical Projection Tilings

    Sebastian Pardo-Guerra +2

  17. math.GT 2026-03-09 reviewed
    Knots linked by n crossing changes form new graph

    The $n$-adjacency graph for knots

    Marion Campisi +2

  18. math.GT 2026-03-09 reviewed
    RL agent recovers unknotting bound three for 4_1#9_10

    RL unknotter, hard unknots and unknotting number

    Anne Dranowski +2

  19. math.QA 2026-03-04 reviewed
    q-Rationals Correspond to Circles in Deformed Farey Triangulation

    Plane geometry of $q$-rationals and Springborn Operations

    Perrine Jouteur +2

  20. math.GT 2026-02-26 reviewed
    Five-holed sphere mapping class group yields distinct hyperbolic quotients

    Cusped spaces for hierarchically hyperbolic groups, and applications to Dehn filling quotients

    Giorgio Mangioni +1

  21. math.GT 2026-02-25 reviewed
    Knot surface crossings bounded by twice the tunnel excess

    Crossing Numbers of Knots on Closed Surfaces

    Makoto Ozawa

  22. math.GT 2026-02-24 reviewed
    Real Heegaard Floer homology gets absolute Z/2 grading

    Absolute $\mathbb{Z}/2$ gradings in real Heegaard Floer homology

    Eha Srivastava

  23. math.GT 2026-02-23 reviewed
    Menger sponge contains infinitely many distinct wild knots

    Wild knots embedded in the Menger Sponge

    Gabriela Hinojosa +3

  24. math.GT 2026-02-23 reviewed
    SL_3 web diagrams on closed surfaces get Z^{16g-16} coordinates

    Coordinates for ${\rm SL}_3$-web basis elements in closed surfaces

    Zhe Sun +1

  25. math.GR 2026-02-17 reviewed
    Non-conjugate subgroups separated by finite lifts

    Subgroups with all finite lifts isomorphic are conjugate

    Ido Karshon +4

  26. math.GT 2026-02-16 reviewed
    Dual graph cycle equals Poincaré dual of foliation Euler class

    A formula for the Euler class of foliations

    Alessandro V. Cigna

  27. math.GT 2026-02-13 reviewed
    Refined defect compares knot alternation in 3D and 4D

    A Refinement of the Spanning Surface Defect in $3$ and $4$ Dimensions

    Julia Knihs +3

  28. math.DG 2026-02-13 reviewed
    Lattice spectral flow captures Atiyah-Patodi-Singer index

    Capturing the Atiyah-Patodi-Singer index from the lattice

    Shoto Aoki +6

  29. math.GR 2026-02-02 reviewed
    Counting homs to non-abelian groups is #P-hard

    Obstruction theory and the complexity of counting group homomorphisms

    Eric Samperton +1

  30. math.GT 2026-02-02 reviewed
    Stable 4-spheres equal double branched covers of trivial surface-knots

    Orthogonal 2-sphere basis of stable 4-sphere

    Akio Kawauchi

  31. math.GT 2026-01-16 reviewed
    Most large 2SAPs grow linearly in entanglement complexity

    Entanglement complexity of spanning pairs of lattice polygons

    Ryan Blair +2

  32. math.DG 2026-01-15 reviewed
    Signature-change metrics lose transversality on non-orientable surfaces

    M\"obius-Type Structures in Non-Orientable Singular Semi-Riemannian Manifolds

    Nathalie E. Rieger

  33. math.GT 2026-01-13 reviewed
    Corrigendum to a corrigendum fixes errors on pseudocovering spaces

    Corrigendum for Hans Corrigendum

    Laurence Boxer

  34. math.GT 2026-01-12 reviewed
    Coxeter polyhedra generate uniform tilings in three geometries

    An introduction to Coxeter polyhedra

    Bruno Martelli

  35. math.GT 2026-01-08 reviewed
    Knot invariant recast as contour integrals over hyperbolic structures

    State integrals for the quantized $\operatorname{SL}_2(\mathbb{C})$ Chern-Simons invariant

    Calvin McPhail-Snyder

  36. math.GT 2026-01-08 reviewed
    Definition of positive representations extends to real closed fields

    Positive representations over real closed fields

    Xenia Flamm +3

  37. cond-mat.stat-mech 2026-01-07 reviewed
    Knot summands in long random polygons follow Poisson law

    Random knotting in very long off-lattice self-avoiding polygons

    Jason Cantarella +4

  38. math.GT 2026-01-06 reviewed
    Four involutions topologically generate big mapping class groups

    Small Torsion Topological Generators for Big Mapping Class Groups

    T\"ulin Altun\"oz +4

  39. cs.RO 2025-12-29 reviewed
    Multirotor optima form exactly N-5 continuous curves

    The N-5 Scaling Law: Topological Dimensionality Reduction in the Optimal Design of Fully-actuated Multirotors

    Antonio Franchi

  40. math.GT 2025-12-17 reviewed
    Destabilization result yields unique neighborhoods for transverse knots

    Neighborhoods of transverse knots and destabilizations

    John B. Etnyre

  41. math.GT 2025-12-17 reviewed
    Quasimorphisms extend continuously from diffeos to homeos

    On quasimorphisms and distortion in homeomorphism groups

    Michael Brandenbursky +3

  42. math.GT 2025-12-16 reviewed
    Every 3-manifold arises from surgery on a braid positive link

    Braid positive surgery diagrams

    Marc Kegel +1

  43. math.GT 2025-12-15 reviewed
    Irregular horocycle orbits recur or have non-minimal closures

    R\'ecurrence ou non minimalit\'e des adh\'erences des d'orbites irr\'eguli\'eres du flot horocyclique de finesse infinie

    Amadou Sy +1

  44. math.GT 2025-12-15 reviewed
    Gaussian partition function recovers Alexander polynomial

    Tensors, Gaussians and the Alexander Polynomial

    Boudewijn Bosch

  45. math.GT 2025-12-10 reviewed
    Mostow rigidity proved from undergrad real analysis

    Mostow Rigidity Made Easier

    Richard Evan Schwartz

  46. math.GT 2025-12-06 reviewed
    Handle modifications yield small-genus PALFs on Stein surfaces

    A Simple Construction of Lefschetz Fibrations on Compact Stein Surfaces

    Atsushi Tanaka

  47. math.GT 2025-12-04 reviewed
    Limit cones for d=3 reps can be finite-sided or have dense rays

    Limit cones of multi-Fuchsian representations

    Jeffrey Danciger +2

  48. math.GT 2025-12-03 reviewed
    Any rational slope between 2 and 8 realized by high-genus sphere fibrations

    Constructing Lefschetz Fibrations with Arbitrary Slope

    Tulin Altunoz +1

  49. math.GT 2025-12-02 reviewed
    Hyperbolic links from Eulerian subgraphs in right-angled polytopes

    Hyperbolic links associated to Hamiltonian subgraphs in simple $3$-polytopes

    Nikolai Erokhovets

  50. math.GT 2025-11-13 reviewed
    Surgery on pretzel knots yields left-orderable groups below bound

    $\mathrm{SL}_2(\mathbb R)$-representations and left-orderable surgeries of $(-2, 3, 2n+1)$-pretzel knots

    Anh T. Tran