Topological field theories and formulae of Casson and Meng-Taubes
S. Donaldson. (1999)cite arxiv:math/9911248Comment: 16 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper4.abs.html.
Zusammenfassung
The goal of this paper is to give a new proof of a theorem of Meng and
Taubes that identifies the Seiberg-Witten invariants of 3-manifolds with
Milnor torsion. The point of view here will be that of topological quantum
field theory. In particular, we relate the Seiberg-Witten equations on a
3-manifold with the Abelian vortex equations on a Riemann surface. These
techniques also give a new proof of the surgery formula for the Casson
invariant, interpreted as an invariant of a homology S^2 x S^1.
Beschreibung
Topological field theories and formulae of Casson and Meng-Taubes
%0 Generic
%1 donaldson1999topological
%A Donaldson, S. K.
%D 1999
%K casson field formulae theories topological
%T Topological field theories and formulae of Casson and Meng-Taubes
%U http://arxiv.org/abs/math/9911248
%X The goal of this paper is to give a new proof of a theorem of Meng and
Taubes that identifies the Seiberg-Witten invariants of 3-manifolds with
Milnor torsion. The point of view here will be that of topological quantum
field theory. In particular, we relate the Seiberg-Witten equations on a
3-manifold with the Abelian vortex equations on a Riemann surface. These
techniques also give a new proof of the surgery formula for the Casson
invariant, interpreted as an invariant of a homology S^2 x S^1.
@misc{donaldson1999topological,
abstract = {The goal of this paper is to give a new proof of a theorem of Meng and
Taubes that identifies the Seiberg-Witten invariants of 3-manifolds with
Milnor torsion. The point of view here will be that of topological quantum
field theory. In particular, we relate the Seiberg-Witten equations on a
3-manifold with the Abelian vortex equations on a Riemann surface. These
techniques also give a new proof of the surgery formula for the Casson
invariant, interpreted as an invariant of a homology S^2 x S^1.},
added-at = {2013-12-23T04:28:53.000+0100},
author = {Donaldson, S. K.},
biburl = {https://www.bibsonomy.org/bibtex/2cdedb5022b8df952bbfa1c66c45501e5/aeu_research},
description = {Topological field theories and formulae of Casson and Meng-Taubes},
interhash = {d8219c80753be48a2fc096e1dc6e001d},
intrahash = {cdedb5022b8df952bbfa1c66c45501e5},
keywords = {casson field formulae theories topological},
note = {cite arxiv:math/9911248Comment: 16 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper4.abs.html},
timestamp = {2013-12-23T04:28:53.000+0100},
title = {Topological field theories and formulae of Casson and Meng-Taubes},
url = {http://arxiv.org/abs/math/9911248},
year = 1999
}