Abelian homotopy Dijkgraaf-Witten theory

Søren K. Hansen; Johannes K. Slingerland; Paul R. Turner

Abelian homotopy Dijkgraaf-Witten theory

Søren K. Hansen, Johannes K. Slingerland, Paul R. Turner

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

Abstract

We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theorybased on U(1) classifies lens spaces up to homotopy type. © 2005 International Press.

Original language	English
Pages (from-to)	321-353
Number of pages	33
Journal	Advances in Theoretical and Mathematical Physics
Volume	9
Issue number	2
Publication status	Published - Apr 2005

Cite this

@article{b20516db2600429497cbe81088feff62,

title = "Abelian homotopy Dijkgraaf-Witten theory",

abstract = "We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theorybased on U(1) classifies lens spaces up to homotopy type. {\textcopyright} 2005 International Press.",

author = "Hansen, {S{\o}ren K.} and Slingerland, {Johannes K.} and Turner, {Paul R.}",

year = "2005",

month = apr,

language = "English",

volume = "9",

pages = "321--353",

journal = "Advances in Theoretical and Mathematical Physics",

issn = "1095-0761",

publisher = "International Press of Boston, Inc.",

number = "2",

}

TY - JOUR

T1 - Abelian homotopy Dijkgraaf-Witten theory

AU - Hansen, Søren K.

AU - Slingerland, Johannes K.

AU - Turner, Paul R.

PY - 2005/4

Y1 - 2005/4

N2 - We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theorybased on U(1) classifies lens spaces up to homotopy type. © 2005 International Press.

AB - We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theorybased on U(1) classifies lens spaces up to homotopy type. © 2005 International Press.

UR - http://www.scopus.com/inward/record.url?scp=77954496255&partnerID=8YFLogxK

M3 - Article

SN - 1095-0761

VL - 9

SP - 321

EP - 353

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

IS - 2

ER -

Abelian homotopy Dijkgraaf-Witten theory

Abstract

Other files and links

Fingerprint

Cite this