Holomorphic curves in exploded manifolds: Compactness

Brett Parker

doi:10.1016/j.aim.2015.07.011

Holomorphic curves in exploded manifolds: Compactness

Brett Parker^*

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This together with [14] and [13] allows the definition of Gromov-Witten invariants of these exploded manifolds.

Original language	English
Pages (from-to)	377-457
Number of pages	81
Journal	Advances in Mathematics
Volume	283
DOIs	https://doi.org/10.1016/j.aim.2015.07.011
Publication status	Published - 1 Oct 2015

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title = "Holomorphic curves in exploded manifolds: Compactness",

abstract = "This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This together with [14] and [13] allows the definition of Gromov-Witten invariants of these exploded manifolds.",

keywords = "Exploded manifolds, Gromov compactness, Holomorphic curves",

author = "Brett Parker",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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doi = "10.1016/j.aim.2015.07.011",

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AB - This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This together with [14] and [13] allows the definition of Gromov-Witten invariants of these exploded manifolds.

KW - Exploded manifolds

KW - Gromov compactness

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EP - 457

JO - Advances in Mathematics

JF - Advances in Mathematics

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Holomorphic curves in exploded manifolds: Compactness

Abstract

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