Instantons on conic 4-manifolds: Fredholm theory

Weiping Li; Shuguang Wang

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J. Korean Math. Soc. 2007; 44(2): 275-296

Printed March 1, 2007

Instantons on conic 4-manifolds: Fredholm theory

Weiping Li and Shuguang Wang

Oklahoma State University, University of Missouri

Abstract

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Abstract

We study the self-duality operator on conic 4-manifo\-lds. The self-duality operator can be identified as a regular singular operator in the sense of Br\"uning and Seeley, based on which we construct its parametrizations and closed extensions. We also compute the indexes.

Keywords: gauge theory, conic 4-manifold, self-duality operator, parame-trization, closed extension, index

MSC numbers: 57R57, 58G12, 53C05, 58G18, 58J20