Twisted cohomology pairings of knots II; to classical invariants

Abstract

We show that bilinear cup products with local coefficients of closed 3-manifolds recover some twisted pairings of infinite covers and the Casson-Gordon local signatures. As a result, we further give diagrammatic computations of the pairings and signatures.

arXiv commentI found some errors, and some theorems in this paper are already shown or generalized in other papers by somenes. So, in another paper, I will summarize the errors, and take some new results