Invariants of embeddings and immersions via contact geometry

John Etnyre

Georgia Tech

Brandeis University

Thursday, April 28, 2011

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract: One of the most basic questions in topology is how one manifold can sit inside of another; the classical study of knots in 3-space is a special case of this. After recalling some classical results about embeddings of manifolds I will discuss the co-normal construction. This construction introduces geometry, specifically contact geometry, into this purely topological problem. While this construction has been around for quite some time --- for example, Arnold used it to study ``wave fronts" --- new tools in contact geometry, namely Legendrian contact homology, have allowed one to see more subtle information about embeddings. I will describe these tools and some of the recent results one can prove with them.

Home Web page: Alexandru I. Suciu Posted: April 27, 2011
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