Quantitative Gromov Compactness
Mohan Swaminathan
TL;DR
This paper develops a quantitative version of the Gromov compactness theorem specifically for genus 0 pseudoholomorphic curves within tamed almost complex manifolds that have bounded geometry, enhancing understanding of their compactness properties.
Contribution
It introduces a quantitative framework for Gromov compactness applicable to genus 0 pseudoholomorphic curves in bounded geometry settings, extending classical results.
Findings
Established a quantitative Gromov compactness theorem for genus 0 curves.
Extended compactness results to tamed almost complex manifolds with bounded geometry.
Provided new estimates for pseudoholomorphic curves in this setting.
Abstract
We establish a quantitative version of the Gromov compactness theorem for closed genus 0 pseudoholomorphic curves in the setting of a tamed almost complex manifold with bounded geometry.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Geometric Analysis and Curvature Flows