De Rham theory of exploded manifolds

Details De Rham theory of exploded manifolds De Rham theory of exploded manifolds

2010-03-09

arxiv.org/abs/1003.1977v2

Mathematics

Differential Geometry

29 pages. v2 adds a section on refined forms which are used in a separate paper to define Gromov Witten invariants of exploded

Scientific paper

This paper extends de Rham theory of smooth manifolds to exploded manifolds.
Included are versions of Stokes' theorem, De Rham cohomology, Poincare duality,
and integration along the fiber. The resulting cohomology theory is used to
define Gromov Witten invariants of exploded manifolds in a separate paper.

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