7 papers
The Supertrace Defect of a Graded Endomorphism
Esma Dirican Erdal, Atabey Kaygun
Motivated by Igusa's relation between relative cyclic homology and the logarithm of the graded Cartan determinant, we isolate the homological step behind the passage from logarithm…
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…
On twisted torsion of compact -manifolds
Esma Dirican Erdal
In this paper, we examine the behavior of twisted Reidemeister torsion for compact, connected, oriented -manifolds under the connected sum operation. Under appropriate assumptio…
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…
The Adjoint Reidemeister Torsion for Compact 3-Manifolds Admit a Unique Decomposition
Esma Dirican Erdal
Let be a triangulated, oriented, connected compact -manifold with connected non-empty boundary. Such a manifold admits a unique decomposition into -prime -mani…
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-…
Reidemeister-Franz Torsion of Compact Orientable Surfaces via Pants Decomposition
Esma Dirican Erdal, Yaşar Sözen
Let denote the compact orientable surface with genus and boundary disjoint union of circles. By using a particular pants-decomposition of we obta…