Title of article
An L2-Index Theorem for Dirac Operators on S1×R3
Author/Authors
Nye، نويسنده , , Tom M.W. and Singer، نويسنده , , Michael A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
16
From page
203
To page
218
Abstract
An expression is found for the L2-index of a Dirac operator coupled to a connection on a Un vector bundle over S1×R3. Boundary conditions for the connection are given which ensure the coupled Dirac operator Fredholm. Calliasʹ index theorem is used to calculate the index when the connection is independent of the coordinate on S1. An excision theorem due to Gromov, Lawson, and Anghel reduces the index theorem to this special case.
Keywords
Dirac operator , CONNECTION , Elliptic operator , L2-index theorem , Manifold with boundary , excision
Journal title
Journal of Functional Analysis
Serial Year
2000
Journal title
Journal of Functional Analysis
Record number
1550093
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