Ghost bubble censorship

Tobias Ekholm; Vivek Shende

doi:10.48550/arXiv.2212.05835

Ghost bubble censorship

Tobias Ekholm, Vivek Shende

Research output: Other contribution › Research

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Abstract

When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching points, such as high multiplicity or vanishing of the holomorphic derivative. Here we show the same holds for maps which are only approximately J-holomorphic.

Original language	English
Publication date	12. Dec 2022
Publisher	arXiv.org
Number of pages	33
DOIs	https://doi.org/10.48550/arXiv.2212.05835
Publication status	Published - 12. Dec 2022

Keywords

math.SG
53D45, 53D42

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10.48550/arXiv.2212.05835

https://arxiv.org/pdf/2212.05835.pdf

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title = "Ghost bubble censorship",

abstract = " When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching points, such as high multiplicity or vanishing of the holomorphic derivative. Here we show the same holds for maps which are only approximately J-holomorphic. ",

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year = "2022",

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language = "English",

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AU - Shende, Vivek

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N2 - When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching points, such as high multiplicity or vanishing of the holomorphic derivative. Here we show the same holds for maps which are only approximately J-holomorphic.

AB - When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching points, such as high multiplicity or vanishing of the holomorphic derivative. Here we show the same holds for maps which are only approximately J-holomorphic.

KW - math.SG

KW - 53D45, 53D42

U2 - 10.48550/arXiv.2212.05835

DO - 10.48550/arXiv.2212.05835

M3 - Other contribution

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ER -

Ghost bubble censorship

Abstract

Keywords

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