• Corpus ID: 207795618

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

@article{Feehan2019GluingIG,
  title={Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory.},
  author={Paul M. N. Feehan and Thomas G. Leness},
  journal={arXiv: Differential Geometry},
  year={2019}
}
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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