Low Dimensional Geometry and Topology Special Feature: Tour of bordered Floer theory

Author(s)
Ozsvath, Peter; Lipshitz, Robert; Thurston, Dylan P.
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Alternative title
Tour of bordered Floer theory
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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.
Date issued
2011-04
URI
http://hdl.handle.net/1721.1/80705
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0027-8424
1091-6490
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