Integration theory on the zero sets of polyfold Fredholm sections
By Helmut Hofer, K. Wysocki, E. Zehnder. 2007
60 citations recorded by the source corpus.
We construct an integration theory for sc-differential forms on oriented branched ep-subgroupoid for which Stokes’ theorem holds true. The construction is compatible with equivalences between ep-groupoids and so gives rise to an integration theory for branched suborbifolds of polyfolds. Examples are the solutions sets of proper oriented Fredholm sections of strong polyfold bundles for which we obtain invariants this way.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2d9da025820042ea5324b1a8275c500b2dcc79f2
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In Geometry and Topology
- K. Wysocki
- E. Zehnder
- Helmut Hofer
- T. Ekholm
- Frederick J. Bourgeois III
- Michael Hutchings
- A. Oancea
- Kai Cieliebak
In Mathematical Physics
- K. Wysocki
- E. Zehnder
- Helmut Hofer
- T. Ekholm
- Frederick J. Bourgeois III
- Michael Hutchings
- A. Oancea
- J. Pardon
Citations in the corpus
- Polyfold and Fredholm Theory (2014, methodology): “use the equivalence β: X→Cto pull-back [ω] since Tβ: TX→TCis welldefined. In fact this pull-back completely determines [ω] and the pull back is compatible with the exterior derivative defined on X, see [27], [29], and [30]. As it turns out the exterior differential is well-defined, so that we obtain the”