A graph TQFT for hat heegaard floer homology

Ian Zemke

doi:10.4171/QT/154

A graph TQFT for hat heegaard floer homology

Ian Zemke

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We construct maps on hat Heegaard Floer homology for cobordisms decorated with graphs. The graph TQFT allows for cobordisms with disconnected ends. Our con-struction uses Juhász’s sutured Floer TQFT. We compute the maps for several elementary graph cobordisms. As an application, we compute the action of the fundamental group on hat Heegaard Floer homology.

Original language	English (US)
Pages (from-to)	439-460
Number of pages	22
Journal	Quantum Topology
Volume	12
Issue number	3
DOIs	https://doi.org/10.4171/QT/154
State	Published - 2021

All Science Journal Classification (ASJC) codes

Mathematical Physics
Geometry and Topology

Keywords

3-manifold invariants
4-manifold invari-ants
Heegaard Floer homology
TQFTs

Access to Document

10.4171/QT/154

Cite this

@article{e5e0d89526b94ee7bc9bd75f660b739b,

title = "A graph TQFT for hat heegaard floer homology",

abstract = "We construct maps on hat Heegaard Floer homology for cobordisms decorated with graphs. The graph TQFT allows for cobordisms with disconnected ends. Our con-struction uses Juh{\'a}sz{\textquoteright}s sutured Floer TQFT. We compute the maps for several elementary graph cobordisms. As an application, we compute the action of the fundamental group on hat Heegaard Floer homology.",

keywords = "3-manifold invariants, 4-manifold invari-ants, Heegaard Floer homology, TQFTs",

author = "Ian Zemke",

note = "Publisher Copyright: {\textcopyright} 2021 European Mathematical Society.",

year = "2021",

doi = "10.4171/QT/154",

language = "English (US)",

volume = "12",

pages = "439--460",

journal = "Quantum Topology",

issn = "1663-487X",

publisher = "European Mathematical Society Publishing House",

number = "3",

}

TY - JOUR

T1 - A graph TQFT for hat heegaard floer homology

AU - Zemke, Ian

PY - 2021

Y1 - 2021

N2 - We construct maps on hat Heegaard Floer homology for cobordisms decorated with graphs. The graph TQFT allows for cobordisms with disconnected ends. Our con-struction uses Juhász’s sutured Floer TQFT. We compute the maps for several elementary graph cobordisms. As an application, we compute the action of the fundamental group on hat Heegaard Floer homology.

AB - We construct maps on hat Heegaard Floer homology for cobordisms decorated with graphs. The graph TQFT allows for cobordisms with disconnected ends. Our con-struction uses Juhász’s sutured Floer TQFT. We compute the maps for several elementary graph cobordisms. As an application, we compute the action of the fundamental group on hat Heegaard Floer homology.

KW - 3-manifold invariants

KW - 4-manifold invari-ants

KW - Heegaard Floer homology

KW - TQFTs

UR - http://www.scopus.com/inward/record.url?scp=85118949908&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85118949908&partnerID=8YFLogxK

U2 - 10.4171/QT/154

DO - 10.4171/QT/154

M3 - Article

AN - SCOPUS:85118949908

SN - 1663-487X

VL - 12

SP - 439

EP - 460

JO - Quantum Topology

JF - Quantum Topology

IS - 3

ER -

A graph TQFT for hat heegaard floer homology

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this