Log geometry and exploded manifolds

Details Log geometry and exploded manifolds Log geometry and exploded manifolds

2011-08-18

arxiv.org/abs/1108.3713v3

Mathematics

Symplectic Geometry

32 pages. v2 contains a modified definition of `cut curves' used in the suggested approach to gluing log Gromov-Witten invaria

Scientific paper

Log Gromov-Witten invariants have recently been defined separately by Gross and Siebert and Abramovich and Chen. This paper provides a dictionary between log geometry and holomorphic exploded manifolds in order to compare Gromov-Witten invariants defined using exploded manifolds or log schemes. The gluing formula for Gromov-Witten invariants of exploded manifolds suggests an approach to proving analogous gluing formulas for log Gromov-Witten invariants.

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