Kazuo Habiro

Research Institute for Mathematical Sciences
Kyoto University

Publications and preprints

  1. Symplectic Jacobi diagrams and the Lie algebra of homology cylinders, J. Topology 2 (2009) 527-569 (joint with G.Massuyeau)
  2. A functorial LMO invariant for Lagrangian cobordisms, Geom. Topol. 12 (2008) 1091-1170 (joint with D.Cheptea and G.Massuyeau)
  3. A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres, Invent. Math. 171 (2008) 1-81
  4. On the Kontsevich integral of Brunnian links, Algebr. Geom. Topol. 6 (2006) 1399-1412 (joint with J.-B.Meilhan)
  5. Finite type invariants and Milnor invariants for Brunnian links, Internat. J. Math. 19 (2008) 747-766 (joint with J.-B.Meilhan)
  6. Brunnian links, claspers and Goussarov-Vassiliev finite type invariants, Math. Proc. Camb. Phil. Soc. 142 (2007), 459-468.
  7. Replacing a graph clasper by tree claspers, preprint, October 2005.
  8. Refined Kirby calculus for integral homology spheres, Geom. Topol. 10 (2006) 1285-1317
  9. Bottom tangles and universal invariants, Algebr. Geom. Topol. 6 (2006) 1113-1214
  10. An integral form of the quantized enveloping algebra of sl2 and its completions, J. Pure Appl. Alg. 211 (2007), 265-292
  11. Cyclotomic completions of polynomial rings, Publ. Res. Inst. Math. Sci. 40 (2004), 1127-1146.
  12. On the quantum sl2 invariants of knots and integral homology spheres. In: Invariants of knots and 3-manifolds (Kyoto 2001), Geometry and Topology Monographs, Vol. 4 (2002), 55-68.
  13. Algebraic formulae for the q-inverse in a free group, J. Math. Sci. Univ. Tokyo 8 (2001), 721-734. (joint with S.Kamada, Y.Matsumoto, and K.Yoshikawa)
  14. Finite type invariants of ribbon 2-knots, II, Topology Appl. 111 (2001), no.3, 265-287. (joint with A.Shima)
  15. Gluck surgery and framed links in 4-manifolds. In: Knots in Hellas '98 (Delphi, 1998), 80-93, Ser. Knots Everything, 24, World Sci. Publishing, River Edge, NJ, (2000). (joint with Y.Marumoto and Y.Yamada).
  16. On the colored Jones polynomials of some simple links. In: Recent progress towards the volume conjecture (Kyoto, 2000). RIMS Kokyuroku, No. 1172, (2000), 34-43.
  17. Claspers and finite type invariants of links, Geom. Topol. 4 (2000), 1-83.
  18. Finite type invariants of ribbon 2-knots. In: Low-dimensional topology (Funchal, 1998), 187-196, Contemp. Math., 233, Amer. Math. Soc., Providence, RI, (1999). (joint with T.Kanenobu and A.Shima).
  19. Claspers and Vassiliev skein modules, Ph. D. thesis, University of Tokyo, 1997.

研究内容

最近の講演(recent talks)

3次元多様体のWitten-Reshetikhin-Turaev不変量について , 2003年度日本数学会年会トポロジー分科会講演アブストラクト, 2003年3月.

A functor on the category of bottom tangles in homology handlebodies, 研究集会「多様体のトポロジーの未来へ」(2004年11月）予稿.

Local moves in tangle categories, 研究集会「結び目のトポロジー」(2004年12月)報告集原稿. aaaa