arXiv math.GT Geometric Topology
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arXiv math.GT Geometric Topology
@mathGTb
Unofficial bot by @vela with github.com/so-okada/twXiv. @mathFAbot @mathGMb @mathGNb @mathGRbot @mathHOb @mathITbot @mathKTb @mathLOb @mathMGb @mathMPb ...
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    arXiv math.GT Geometric Topology
    @mathGTb
    Feb 28, 2023
    Yuya Murakami: A proof of a conjecture of Gukov-Pei-Putrov-Vafa arxiv.org/abs/2302.13526 arxiv.org/pdf/2302.13526
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    A proof of a conjecture of Gukov-Pei-Putrov-Vafa
    In this paper, we prove Gukov-Pei-Putrov-Vafa's conjecture that the Witten-Reshetikhin-Turaev invariants are radial limits of homological blocks, which are $ q $-series introduced by them for...
    118K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Nov 28, 2019
    Akio Kawauchi : Smooth homotopy 4-sphere arxiv.org/abs/1911.11904 arxiv.org/pdf/1911.11904
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    arXiv math.GT Geometric Topology
    @mathGTb
    Jan 12, 2022
    Ian Agol: Ribbon concordance of knots is a partial order arxiv.org/abs/2201.03626 arxiv.org/pdf/2201.03626
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    arXiv math.GT Geometric Topology
    @mathGTb
    Oct 20, 2022
    Sally Collins: Homology cobordism, smooth concordance, and the figure eight knot arxiv.org/abs/2210.10308 arxiv.org/pdf/2210.10308
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    arXiv math.GT Geometric Topology
    @mathGTb
    Dec 5, 2023
    Jin Miyazawa: A gauge theoretic invariant of embedded surfaces in $4$-manifolds and exotic $P^2$-knots arxiv.org/abs/2312.02041 arxiv.org/pdf/2312.02041
    6.7K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Apr 15, 2024
    Taketo Sano: Involutive Khovanov homology and equivariant knots arxiv.org/abs/2404.08568 arxiv.org/pdf/2404.08568
    20K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Jul 10, 2025
    Sakumi Sugawara: The cohomology ring of the boundary manifold of a combinatoria... arxiv.org/abs/2507.06728 arxiv.org/pdf/2507.06728 arxiv.org/html/2507.06728
    6K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Mar 11, 2025
    Aoi Wakuda: Puncture loops on a non-orientable surface arxiv.org/abs/2503.07247 arxiv.org/pdf/2503.07247 arxiv.org/html/2503.07247
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    Puncture loops on a non-orientable surface
    On a connected surface $N$ with negative Euler characteristic, the free homotopy class of a loop obtained by smoothing an intersection of two closed geodesics may wind around a puncture. Chas and...
    50K
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    arXiv math.GT Geometric Topology
    @mathGTb
    May 7, 2024
    Masato Tanabe: Immersions of 3-manifolds into the 5-space, almost contact structures, and complex tangents arxiv.org/abs/2405.02513 arxiv.org/pdf/2405.02513
    13K
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    arXiv math.GT Geometric Topology
    @mathGTb
    May 13, 2025
    Iwamoto, Kai, Kodama: Metrics for quandles arxiv.org/abs/2505.07535 arxiv.org/pdf/2505.07535 arxiv.org/html/2505.07535
    15K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Feb 24, 2020
    Taketo Sano, Kouki Sato : An algorithm for computing the $Υ$-invariant and the $d$-invariants of Dehn surgeries arxiv.org/abs/2002.09210 arxiv.org/pdf/2002.09210
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    An algorithm for computing the $Υ$-invariant and the...
    By using grid homology theory, we give an explicit algorithm for computing Ozsváth-Stipsicz-Szabó's $Υ$-invariant and the $d$-invariant of Dehn surgeries along knots in $S^3$. As its...
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    arXiv math.GT Geometric Topology
    @mathGTb
    Dec 30, 2024
    Inasa Nakamura, Jumpei Yasuda: Closure of knitted surfaces and surface-links arxiv.org/abs/2412.19432 arxiv.org/pdf/2412.19432
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    Closure of knitted surfaces and surface-links
    A knitted surface is a surface with or without closed components smoothly properly embedded in $D^2 \times B^2$, which is a generalization of a braided surface. A knitted surface is called a...
    4.3K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Jul 1, 2025
    Brittenham, Hermiller: Unknotting number is not additive under connected sum arxiv.org/abs/2506.24088 arxiv.org/pdf/2506.24088 arxiv.org/html/2506.24088
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    Unknotting number is not additive under connected sum
    We give the first examples of a pair of knots $K_1$,$K_2$ in the 3-sphere for which their unknotting numbers satisfy $u(K_1\#K_2)
    4.1K
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    arXiv math.GT Geometric Topology
    @mathGTb
    Mar 10, 2025
    Taketo Sano: A diagrammatic approach to the Rasmussen invariant via tangles and cobordisms arxiv.org/abs/2503.05414 arxiv.org/pdf/2503.05414 arxiv.org/html/2503.05414
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    A diagrammatic approach to the Rasmussen invariant via tangles and...
    We introduce a diagrammatic approach to Rasmussen's $s$-invariant, based on Bar-Natan's reformulation of Khovanov homology for tangles and cobordisms. This method enables a local computation of...
    25K

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