An introduction to Heegaard Floer homology, part I
2008-07-14 来源:数学科学研究中心活动地点:
活动类型:学术会议
主讲人:Yi Ni, American Institute of Mathematics and MIT,
活动时间:
活动内容:
Professor Yi Ni, American Institute of Mathematics and MIT, USA
Thursday, July 17, 2:30-4:30pm (with a break at 3:30)
place: CMS room 501
title: An introduction to Heegaard Floer homology, part I
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.