Holomorphic disks

In [27], we introduced Floer homology theories HF − (Y, s), HF ∞ (Y, s), HF (Y, s),and HFred (Y, s) associated to closed, oriented three-manifolds Y equipped with a Spinc structures s ∈ Spinc (Y ). In the present paper, we give calculations and study the properties of these invariants. The calculations suggest a conjectured relationship with Seiberg-Witten theory.

88p tuanloccuoi 04-01-2013 55 6   Download

Holomorphic disks and topological invariants for closed three-manifolds ´ ´ ´ By Peter Ozsvath and Zoltan Szabo* Abstract The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y , equipped with a Spinc structure. Given a Heegaard splitting of Y = U0 ∪Σ U1 , these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Σ relative to certain totally real subspaces associated to U0 and U1 . 1. Introduction Let Y be a connected, closed, oriented three-manifold, equipped with a Spin structure s. ...

133p tuanloccuoi 04-01-2013 51 7   Download