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Cohomology determinants of compact 3-manifolds

Christopher Truman
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Abstract

We give definitions of cohomology determinants for compact, connected, orientable 3-manifolds. We also give formulae relating cohomology determinants before and after gluing a solid torus along a torus boundary component. Cohomology determinants are related to Turaev torsion, though the author hopes that they have other uses as well.

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Christopher Truman. 2006-11-08. Cohomology determinants of compact 3-manifolds. https://arxiv.org/abs/math/0611248

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