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arXiv · 1310.7209

Weakly Smooth Structures in Gromov-Witten Theory

Gang Liu
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Abstract

In order to establish Fredholm theory on stratified topological Banach manifolds in Gromov-Witten theory, we have introduced flat structures on such manifolds in [L4]. Such a structure is obtained from local flat coordinate charts. The transformations between these charts are only continuous in general. The purpose of this paper is two-fold : firstly to show that on the topological Banach manifolds and bundles appeared in Gromov-Witten and Floer type theories, there are enough smooth functions and sections viewed in any admissible charts and trivializations; secondly to demonstrate some finer aspects about the weakly smooth sections.

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Gang Liu. 2015-07-13. Weakly Smooth Structures in Gromov-Witten Theory. https://arxiv.org/abs/1310.7209

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