Log geometry and exploded manifolds

Brett Parker

doi:10.1007/s12188-012-0065-8

Log geometry and exploded manifolds

Brett Parker

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	43-81
Number of pages	39
Journal	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Volume	82
Issue number	1
DOIs	https://doi.org/10.1007/s12188-012-0065-8
Publication status	Published - 1 Apr 2012
Externally published	Yes

Keywords

Exploded manifolds
Gromov-Witten invariants
Log geometry
Tropical geometry

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10.1007/s12188-012-0065-8

Cite this

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KW - Tropical geometry

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Log geometry and exploded manifolds

Abstract

Keywords

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