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arXiv · 1910.14580

Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory

Paul M. N. Feehan·Thomas G. Leness
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Abstract

We describe a new approach to the problem of constructing gluing parameterizations for open neighborhoods of boundary points of moduli spaces of anti-self-dual connections over closed four-dimensional manifolds. Our approach employs general results from differential topology for $C^1$ maps of smooth Banach manifolds with corners, providing a method that should apply to other problems in geometric analysis involving the gluing construction of solutions to nonlinear partial differential equations.

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Paul M. N. Feehan, Thomas G. Leness. 2019-10-31. Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory. https://arxiv.org/abs/1910.14580

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