Research output: Working paper › Research

**Abelian Chern-Simons theory and contact torsion.** / McLellan, Brendan Donald Kenneth.

Research output: Working paper › Research

McLellan, BDK 2013 'Abelian Chern-Simons theory and contact torsion'. <http://www.math.utoronto.ca/mclellan/researchfiles.html>

McLellan, B. D. K. (2013). *Abelian Chern-Simons theory and contact torsion*. http://www.math.utoronto.ca/mclellan/researchfiles.html

McLellan BDK. 2013. Abelian Chern-Simons theory and contact torsion.

McLellan, Brendan Donald Kenneth *Abelian Chern-Simons theory and contact torsion*. 2013., 35 p.

McLellan BDK. Abelian Chern-Simons theory and contact torsion. 2013 Mar 15.

McLellan, Brendan Donald Kenneth. / **Abelian Chern-Simons theory and contact torsion**. 2013.

@techreport{06acf3db8b4d499aae12eb2baed2366c,

title = "Abelian Chern-Simons theory and contact torsion",

abstract = "Chern-Simons theory on a closed contact three-manifold is studied when the Lie group for gauge transformations is compact, connected and abelian. A shift reduced abelian Chern-Simons partition function is introduced using an alternative formulation of the partition function using formal ideas in quantum field theory. We compare the shift reduced partition function with other formulations of the abelian Chern-Simons partition function. This study naturally motivates an Atiyah-Patodi-Singer type index problem in contact geometry.",

keywords = "Chern-Simons theory, Contact geometry, Index theorem, Contact analytic torsion",

author = "McLellan, {Brendan Donald Kenneth}",

year = "2013",

month = mar,

day = "15",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Abelian Chern-Simons theory and contact torsion

AU - McLellan, Brendan Donald Kenneth

PY - 2013/3/15

Y1 - 2013/3/15

N2 - Chern-Simons theory on a closed contact three-manifold is studied when the Lie group for gauge transformations is compact, connected and abelian. A shift reduced abelian Chern-Simons partition function is introduced using an alternative formulation of the partition function using formal ideas in quantum field theory. We compare the shift reduced partition function with other formulations of the abelian Chern-Simons partition function. This study naturally motivates an Atiyah-Patodi-Singer type index problem in contact geometry.

AB - Chern-Simons theory on a closed contact three-manifold is studied when the Lie group for gauge transformations is compact, connected and abelian. A shift reduced abelian Chern-Simons partition function is introduced using an alternative formulation of the partition function using formal ideas in quantum field theory. We compare the shift reduced partition function with other formulations of the abelian Chern-Simons partition function. This study naturally motivates an Atiyah-Patodi-Singer type index problem in contact geometry.

KW - Chern-Simons theory

KW - Contact geometry

KW - Index theorem

KW - Contact analytic torsion

M3 - Working paper

BT - Abelian Chern-Simons theory and contact torsion

ER -