Tetsuya Abe's homepage.

Research Interests : 

Low-dimensional topology
(Knot theory, Dehn surgery, 4-dimensional topology)

Papers :
  1. A construction of slice knots via annulus twists (With M. Tange), accepted by The Michigan Mathematical Journal.
  2. Fibered knots with the same 0-surgery and the slice-ribbon conjecture (With K. Tagami),  Mathematical Research Letters 23 (2016) No. 2, 303 -- 323.
  3. Addendum to "Fibered knots with the same 0-surgery and the slice-ribbon conjecture" (With K. Tagami),                                RIMS Kôkyûroku 1960 (2015), 18--36.
  4. Infinitely many knots admitting the same integer surgery and a 4-dimensional extension (with I. Jong, J. Luecke, J. Osoinach),       Int Math Res Notices (2015), IMRN,  doi: 10.1093/imrn/rnv008
  5. Unoriented band-surgery on knots and links (With T. Kanenobu), 
    Kobe. J. Math. 31 (2014), 21--44.
  6. Annulus twist and diffeomorphic 4-manifolds (With I. Jong, Y. Omae and M. Takeuchi),
    Math. Proc. Cambridge Philos. Soc. 
    155 (2013), No. 2,  219--235.
  7. Omae's knot and 12a990 are ribbon (With M. Tange),
    RIMS Kôkyûroku 1812 (2012), 34--42.
  8. The unknotting number and band-unknotting number of a knot (With R. Hanaki and R. Higa),
    Osaka J. Math. 49 (2012), No. 2, 523--550.
  9. The Rasmussen invariant of a homogeneous knot,
    Proc. Amer. Math. Soc. 139 (2011), No. 7, 2647--2656. 
  10. Lee's homology and Rasmussen invariant,
    RIMS Kôkyûroku 1716 (2010), 107--118. 
  11. The dealternating number and the alternation number of a closed 3-braid (With K. Kishimoto),
    J. Knot Theory Ramifications 19 (2010), No. 9, 1--25.
  12. The Turaev genus of an adequate knot
    Topology Appl. 156 (2009), No. 17, 2704--2712.
  13. An estimation of the alternation number of a torus knot
    J. Knot Theory Ramifications 18 (2009), No. 3, 363--379.

Preprints etc.

  • Characterization of positive links and the s-invariant for links (With K. Tagami), arXiv:1405.4061.

  • Ribbon disks with the same exterior, in preparation.

  • (With M. Tange)in preparation.

  • Seminar : 

    Differential Topology '16 @ University of Tsukuba
    Differential Topology '15 @ Kyoto University
    Handle friendship seminar 2014 @ Tokyo Institute of Technology
    Mini-workshop on knot concordance 2013 Tokyo Institute of Technology

    アクセスカウンター