Taketo Sano

@ithems.riken.jp

Mathematical Application Research Team, Division of Applied Mathematical Science
RIKEN iTHEMS

Taketo Sano


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https://researchid.co/taketo1024

RESEARCH, TEACHING, or OTHER INTERESTS

Geometry and Topology
69

Scholar Citations

4

Scholar h-index

1

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • A -ification of Khovanov homology
    T Sano
    arXiv preprint arXiv:2602.17435 , 2026
    2026.0
  • Involutive Khovanov homology and equivariant knots
    T Sano
    Algebraic & Geometric Topology 25 (8), 5059-5111 , 2025
    2025.0
    Citations: 4
  • Cobordism maps in Khovanov homology and singular instanton homology II
    H Imori, T Sano, K Sato, M Taniguchi
    arXiv preprint arXiv:2510.09399 , 2025
    2025.0
    Citations: 2
  • Symmetries of equivariant Khovanov homology
    M Khovanov, T Sano
    arXiv preprint arXiv:2509.03785 , 2025
    2025.0
    Citations: 3
  • A diagrammatic approach to the Rasmussen invariant via tangles and cobordisms
    KT Kim, T Sano
    arXiv preprint arXiv:2503.05414 , 2025
    2025.0
    Citations: 2
  • On the slice-torus invariant from -equivariant Seiberg--Witten Floer cohomology
    N Iida, T Sano, K Sato, M Taniguchi
    arXiv preprint arXiv:2501.07788 , 2025
    2025.0
  • A family of slice-torus invariants from the divisibility of Lee classes
    T Sano, K Sato
    Topology and its Applications 357, 109059 , 2024
    2024.0
    Citations: 9
  • A Bar-Natan homotopy type
    T Sano
    International Journal of Mathematics 34 (02), 2350008 , 2023
    2023.0
    Citations: 1
  • Computations of HOMFLY homology
    K Nakagane, T Sano
    arXiv preprint arXiv:2111.00388 , 2021
    2021.0
    Citations: 3
  • Fixing the functoriality of Khovanov homology: a simple approach
    T Sano
    Journal of Knot Theory and Its Ramifications 30 (11), 2150074 , 2021
    2021.0
    Citations: 32
  • A description of Rasmussen’s invariant from the divisibility of Lee’s canonical class
    T Sano
    Journal of Knot Theory and Its Ramifications 29 (06), 2050037 , 2020
    2020.0
    Citations: 9
  • An algorithm for computing the -invariant and the -invariants of Dehn surgeries
    T Sano, K Sato
    arXiv preprint arXiv:2002.09210 , 2020
    2020.0
    Citations: 4
  • Direct computation of knot Floer homology and the Upsilon invariant
    T Sano
    2019.0
  • Divisibility of Lee's class and its relation with Rasmussen's invariant
    T Sano
    arXiv preprint arXiv:1812.10258 , 2018
    2018.0
  • Divisibility of Lee’s class and its relation with Rasmussen’s
    T Sano

MOST CITED SCHOLAR PUBLICATIONS

  • Fixing the functoriality of Khovanov homology: a simple approach
    T Sano
    Journal of Knot Theory and Its Ramifications 30 (11), 2150074 , 2021
    2021.0
    Citations: 32
  • A family of slice-torus invariants from the divisibility of Lee classes
    T Sano, K Sato
    Topology and its Applications 357, 109059 , 2024
    2024.0
    Citations: 9
  • A description of Rasmussen’s invariant from the divisibility of Lee’s canonical class
    T Sano
    Journal of Knot Theory and Its Ramifications 29 (06), 2050037 , 2020
    2020.0
    Citations: 9
  • Involutive Khovanov homology and equivariant knots
    T Sano
    Algebraic & Geometric Topology 25 (8), 5059-5111 , 2025
    2025.0
    Citations: 4
  • An algorithm for computing the -invariant and the -invariants of Dehn surgeries
    T Sano, K Sato
    arXiv preprint arXiv:2002.09210 , 2020
    2020.0
    Citations: 4
  • Symmetries of equivariant Khovanov homology
    M Khovanov, T Sano
    arXiv preprint arXiv:2509.03785 , 2025
    2025.0
    Citations: 3
  • Computations of HOMFLY homology
    K Nakagane, T Sano
    arXiv preprint arXiv:2111.00388 , 2021
    2021.0
    Citations: 3
  • Cobordism maps in Khovanov homology and singular instanton homology II
    H Imori, T Sano, K Sato, M Taniguchi
    arXiv preprint arXiv:2510.09399 , 2025
    2025.0
    Citations: 2
  • A diagrammatic approach to the Rasmussen invariant via tangles and cobordisms
    KT Kim, T Sano
    arXiv preprint arXiv:2503.05414 , 2025
    2025.0
    Citations: 2
  • A Bar-Natan homotopy type
    T Sano
    International Journal of Mathematics 34 (02), 2350008 , 2023
    2023.0
    Citations: 1
  • A -ification of Khovanov homology
    T Sano
    arXiv preprint arXiv:2602.17435 , 2026
    2026.0
  • On the slice-torus invariant from -equivariant Seiberg--Witten Floer cohomology
    N Iida, T Sano, K Sato, M Taniguchi
    arXiv preprint arXiv:2501.07788 , 2025
    2025.0
  • Direct computation of knot Floer homology and the Upsilon invariant
    T Sano
    2019.0
  • Divisibility of Lee's class and its relation with Rasmussen's invariant
    T Sano
    arXiv preprint arXiv:1812.10258 , 2018
    2018.0
  • Divisibility of Lee’s class and its relation with Rasmussen’s
    T Sano