- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:39
Quantum Topology
Quantum Topol.
QT
1663-487X
1664-073X
General
10.4171/QT
http://www.ems-ph.org/doi/10.4171/QT
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
2
2011
1
Differential forms and 0-dimensional supersymmetric field theories
Henning
Hohnhold
Statistisches Bundesamt, WIESBADEN, GERMANY
Matthias
Kreck
Universität Bonn, BONN, GERMANY
Stephan
Stolz
University of Notre Dame, NOTRE DAME, UNITED STATES
Peter
Teichner
University of California, BERKELEY, UNITED STATES
Supermanifolds, differential forms, stacks, field theory, cohomology theory
We show that closed differential forms on a smooth manifold X can be interpreted as topological (respectively Eudlidean) supersymmetric field theories of dimension 0|1 over X. As a consequence, concordance classes of such field theories are shown to represent de Rham cohomology. The main contribution of this paper is to make all new mathematical notions regarding supersymmetric field theories precise.
$K$-theory
Category theory; homological algebra
Operator theory
Manifolds and cell complexes
1
41
10.4171/QT/12
http://www.ems-ph.org/doi/10.4171/QT/12