Introduction to Heegaard Floer homology, part III

2008-07-18 来源:数学科学研究中心

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活动类型:学术报告

主讲人:Ai Yinghua (Peking University)

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Title:Introduction to Heegaard Floer homology, part III

Abstract: Heegaard Floer (HF) homology is a theory introduced by
Ozsvath and Szabo. Using ideas and techniques from symplectic
geometry, they associate a package of invariants to low dimensional
objects, like 3-manifolds, 4-manifolds, knots and links. This series
of talks aims to give a very brief introduction to Heegaard Floer
homology. After an overview of the theory, we will cover the
following topics: Morse homology, symplectic geometry and the
definition of Heegaard Floer homology, holomorphic disks,
combinatorial approaches to HF.