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math.AT2025
Multiplicativity of Reidemister-Franz Torsion for Even Manifolds
Esma Dirican Erdal
We study Reidemeister-Franz torsion for non-acyclic cellular chain complexes arising from closed, oriented, highly connected even dimensional manifolds. The monoid of such manifold…
math.AT2023
Higher Analogues of Discrete Topological Complexity
Hilal Alabay, Ayse Borat, Esra Cihangirli +1
In this paper, we introduce the n-th discrete topological complexity and study its properties such as its relation with simplicial Lusternik-Schnirelmann category and how the highe…
math.AT2022
Gluing Formulas for Volume Forms on Representation Varieties of Surfaces
Esma Dirican Erdal
Let be a compact oriented surface with genus bordered by circles. Due to Witten, the twisted Reidemeister torsion coincides with a power of the Atiyah-Bott-…