We prove a formula for the intersection R-torsion of a finite cone and use it
to introduce a family of spectral invariants which is closely related to
Cheeger's half torsion.Comment: introduction revise

Dai, Xianzhe

Huang, Xiaoling

English

arXiv

Torsion invariants were originally introduced in the 3-dimensional setting by K. Reidemeister [23] in 1935 who used them to give a homeomorphism classification of 3-dimensional lens spaces. The Rei-demeister torsions (R-torsions for short) are defined using linear algebra and combinational topology. The salient feature of R-torsions is that it is not a homotopy invariant but rather a simple homo

The Intersection R-Torsion for Finite Cone

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