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CAPPELL-MILLER ANALYTIC TORSION FOR MANIFOLDS WITH BOUNDARY

RUNG-TZUNG HUANG
Proceedings of the American Mathematical Society
Vol. 138, No. 10 (OCTOBER 2010), pp. 3733-3747
Stable URL: http://www.jstor.org/stable/25748257
Page Count: 15
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
CAPPELL-MILLER ANALYTIC TORSION FOR MANIFOLDS WITH BOUNDARY
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Abstract

Inspired by the work of Boris Vertman on refined analytic torsion for manifolds with boundary, in this paper we extend the construction of the Cappell-Miller analytic torsion to manifolds with boundary. We also compare it with the refined analytic torsion on manifolds with boundary. As a byproduct of the gluing formula for refined analytic torsion and the comparison theorem for the Cappell-Miller analytic torsion and the refined analytic torsion, we establish the gluing formula for the Cappell-Miller analytic torsion in the case where the Hermitian metric is flat.

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