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math.DG2003★ 24 cited
Morse theory and higher torsion invariants II
Sebastian Goette
Let p: M -> B be a family of compact manifolds equipped with a unitarily flat vector bundle F -> M. We generalize Igusa's higher Franz-Reidemeister torsion τ(M/B;F) to the case tha…
math.DG2001
Morse theory and higher torsion invariants I
Sebastian Goette
We compare the higher analytic torsion of Bismut and Lott of a fibre bundle p: M -> B equipped with a flat vector bundle F -> M and a fibre-wise Morse function h on M with a higher…