Reidemeister-Franz Torsion of Compact Orientable Surfaces via Pants Decomposition

Esma Dirican Erdal; Yaşar Sözen

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arXiv · 2103.02003

Reidemeister-Franz Torsion of Compact Orientable Surfaces via Pants Decomposition

Esma Dirican Erdal·Yaşar Sözen

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Abstract

Let $\Sigma_{g,n}$ denote the compact orientable surface with genus $g\geq 2$ and boundary disjoint union of $n$ circles. By using a particular pants-decomposition of $\Sigma_{g,n},$ we obtain a formula that computes the Reidemeister torsion of $\Sigma_{g,n}$ in terms of Reidemeister torsions of pairs of pants.

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Esma Dirican Erdal, Yaşar Sözen. 2021-03-02. Reidemeister-Franz Torsion of Compact Orientable Surfaces via Pants Decomposition. https://arxiv.org/abs/2103.02003

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