Low Dimensional Geometry and Topology Special Feature: Tour of bordered Floer theory
Name
Ozsvath_A tour of bordered.pdf
Size
711.76 KB
Format
Adobe PDF
Checksum (MD5)
b071d89bfde68132f2525d228bbf149e
Author(s)
Ozsvath, Peter
Lipshitz, Robert
Thurston, Dylan P.
Alternative Title
Tour of bordered Floer theory
Date Issued
April 2011
Journal
Proceedings of the National Academy of Sciences
Publisher
National Academy of Sciences (U.S.)
Citation
Lipshitz, R., P. S. Ozsvath, and D. P. Thurston. “Low Dimensional Geometry and Topology Special Feature: Tour of bordered Floer theory.” Proceedings of the National Academy of Sciences 108, no. 20 (May 17, 2011): 8085-8092.
Version
Final published version
Abstract
Heegaard Floer theory is a kind of topological quantum field theory (TQFT), assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented four-dimensional cobordisms. Bordered Heegaard Floer homology is an extension of Heegaard Floer homology to 3-manifolds with boundary, with extended-TQFT-type gluing properties. In this survey, we explain the formal structure and construction of bordered Floer homology and sketch how it can be used to compute some aspects of Heegaard Floer theory.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1073/pnas.1019060108
