Kenji Fukaya - Virtual fundamental chain, pseudo-holomorphic curve and Kuranishi structure 

Name: Kenji Fukaya
Title: Virtual fundamental chain, pseudo-holomorphic curve and Kuranishi structure
Date: 2014-01-31 @12:00 PM
Abstract: The notion of Kuranishi chart and its local construction.
In this first talk I focus on the construction of the local Kuranishi chart of the moduli space of pseudo-holomorphic curve. In other words I will explain the construction of local Kuranishi family of the pseudo-holomorphic curves. I first explain the notion of Kuranishi chart. I then review deformation theory of geometric objects and how it is related to the construction of Kuranishi chart. This week I do not yet study compactification of the moduli space so the object I will discuss is a map from nonsingular Riemann surface.
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