Twisted Higher Smooth Torsion

2016/11/18 by Ohrt, Christopher
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1611.06269

Abstract

In this paper we extend Badzioch's, Dorabiala's, and Williams' definition of cohomological higher smooth torsion to a twisted cohomological higher torsion invariant. Additionally, we show that this still satisfies geometric additivity and transfer, and will also satisfy additivity and transfer for coefficients.

Related

• Comparison of Higher Smooth Torsion
• Equivalence of higher torsion invariants
• Twisting cochains and higher torsion
• Morse theory and higher torsion invariants I
• Morse theory and higher torsion invariants II