Mathematics – Differential Geometry
Scientific paper
2010-03-09
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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