Log geometry and exploded manifolds |
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Authors: | Brett Parker |
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Institution: | (1) Mathematical Sciences Institute, Australian National University, Bldg 27, Canberra, ACT, 0200, Australia |
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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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