Gromov's compactness theorem (topology)
id:
gromov-s-compactness-theorem-topology-293-13013202
title:
Gromov's compactness theorem (topology)
text:
In the mathematical field of symplectic topology, Gromov's compactness theorem states that a sequence of pseudoholomorphic curves in an almost complex manifold with a uniform energy bound must have a subsequence which limits to a pseudoholomorphic curve which may have nodes or "bubbles". A bubble is a holomorphic sphere which has a transverse intersection with the rest of the curve. This theorem, and its generalizations to punctured pseudoholomorphic curves, underlies the compactness results for
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wiki
category slug:
encyclopedia
description:
On limiting subsequences of sequence of pseudoholomorphic curves with uniform energy bound
original url:
https://en.wikipedia.org/wiki/Gromov%27s_compactness_theorem_(topology)
date created:
date modified:
2023-07-04T18:14:08Z
main entity:
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13
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