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

Autor:	Feehan, Paul M. N., Leness, Thomas G.
Rok vydání:	2019
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Analysis of PDEs Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 72 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.14580 Zobrazit plný text záznamu View this record from Arxiv