Torsion Invariants for Families

Abstract

We give an overview over the higher torsion invariants of Bismut-Lott, Igusa-Klein and Dwyer-Weiss-Williams, including some more or less recent developments.

LaTeX, 40 pages; v2: references added, BL = IK announced; v3: reference to DWW = IK added

References in corpus (4)

• Axioms for higher torsion invariants of smooth bundles
• Morse theory and higher torsion invariants II
• Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form
• Equivalence of higher torsion invariants

Cited by in corpus (9)

• Iterated integrals of superconnections
• On the gluing formula of real analytic torsion forms
• A comparison between the Bismut-Lott torsion and the Igusa-Klein torsion
• Adiabatic limit, Witten deformation and analytic torsion forms
• Exotic smooth structures on topological fibre bundles II
• Comparison of Higher Smooth Torsion
• The Mathematical Work of V. K. Patodi
• Gluing formula of real analytic torsion forms and adiabatic limit
• Local index theory and the Riemann-Roch-Grothendieck theorem for complex flat vector bundles