Twisted toric structures

Mathematics – Symplectic Geometry

Scientific paper

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40 pages, 14 figures, xypic

Scientific paper

This paper introduces the notion of twisted toric manifolds which is a
generalization of one of symplectic toric manifolds, and proves the weak
Delzant type classification theorem for them. The computation methods for their
fundamental groups, cohomology groups in general cases, and signatures in
four-dimensional cases are also given.

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