TL;DR
This paper explores logarithmic representations of the bordism category as a framework to understand additive invariants related to Reidemeister torsions, providing a new perspective on topological invariants.
Contribution
It introduces a novel approach using Log-TQFT to characterize Reidemeister torsions through logarithmic representations of the bordism category.
Findings
Establishes a connection between Log-TQFT and Reidemeister torsions.
Provides a new categorical framework for additive topological invariants.
Suggests potential applications in topological quantum field theories.
Abstract
Logarithmic representations of the bordism category are considered as a framework for capturing a class of additive invariants characterising Reidemeister torsions.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology