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arXiv · 1108.3713

Log geometry and exploded manifolds

Brett Parker
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Abstract

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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Brett Parker. 2011-08-18. Log geometry and exploded manifolds. https://arxiv.org/abs/1108.3713

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