Reidemeister torsion

An introduction and survey is in

- L. Nicolaescu,
*Notes on Reidemeister torsion*(pdf)

The notion of Reidemeister torsion originates in

- Kurt Reidemeister,
*Automorphismen von Homotopiekettenringen*, Math. Ann. 112 (1936), 586–593.

and was then extended in

- W. Franz,
*Über die Torsion einer Überdeckung*, J. Reine Angew. Math. 173 (1935), 245–254.

and in

- Georges de Rham,
*Complexes á automorphismes et homéomorphie différentiable*, Ann. Inst. Fourier (Grenoble) 2 (1950), 51–67.

Reidemeister torsion was identified with the Alexander polynomial in

- John Milnor,
*A duality theorem for the Reidemeister torsion*, Ann. of Math. 76 (1962), 137–147.

Then

- Jeff Cheeger,
*Analytic torsion and the heat equation*, Ann. of Math. 109 (1979), 259–322.

and

- W. Müller,
*Analytic torsion and R-torsion of Riemannian manifolds*, Adv. in Math. 28 (1978), 233–305.

proved that it coincides with analytic torsion.

Revised on March 6, 2012 15:37:29
by Urs Schreiber
(82.169.65.155)