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arXiv · 1403.1206

Co-Euler structures on bordisms

Osmar Maldonado Molina
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Abstract

Co-Euler structures were studied by Burghelea and Haller on closed manifolds as dual objects to Euler structures. We extend the notion of co-Euler structures to the situation of compact manifolds with boundary. As an application, by studying their variation with respect to smooth changes of the Riemannian metric, co-Euler structures conveniently provide correction terms that can be taken into account when considering the complex-valued analytic torsion on bordisms as a Riemannian invariant.

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Osmar Maldonado Molina. 2014-03-05. Co-Euler structures on bordisms. https://arxiv.org/abs/1403.1206

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