Friday, 8 March, 2013 - 10:30
Prénom de l'orateur :
Tadayuki
Nom de l'orateur :
Watanabe
Résumé :
K. Fukaya defined an invariant of a 3-manifold equipped with an acyclic flat bundle via a Morse theoretic method. Fukaya's invariant is conjectured to coincide with the 2-loop part of perturbative Chern--Simons theory through the Witten deformation. We define, as a higher-order generalization of the construction of Fukaya, an invariant of homology 3-spheres by the numbers of gradient graph flows on a homology 3-sphere.
We conjecture that our construction could be extended to closed 3-manifolds with the first Betti number 1.
Institution de l'orateur :
Université d'Hokkaido, Japon
Thème de recherche :
Topologie
Salle :
04