Tour of bordered Floer theory

Tour of bordered Floer theory

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-man...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 2011-05, Vol.108 (20), p.8085-8092
Hauptverfasser: Lipshitz, Robert, Ozsváth, Peter S, Thurston, Dylan P
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Curves
Homeomorphism
LOW DIMENSIONAL GEOMETRY AND TOPOLOGY SPECIAL FEATURE
Mathematical surfaces
Physical Sciences
Polynomials
quantum dots
Quantum field theory
quantum mechanics
Subalgebras
surveys
Tensors
Topological manifolds
Topology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.1019060108