The exact sequence of a localization for witt groups II: Numerical invariants of odd-dimensional surgery obstructions

The propose of this paper is to define numerical invariants of odd-dimensional surgery obstructions, computable in a way similar to that used to compute the index and Arf invariants of even-dimensional surgery obstructions. The main result is that a system of integral congruences (“numerical invariants”) suffices, modulo the projective class group, to determine whether or not an odd-dimensional surgery obstruction vanishes, when the f undumental group is a finite 2-group. In addition, the numerical invariants turn out to be Euler characteristics in certain cases of topological interest, including the existence of product formulas. © 1982, University of California, Berkeley. All Rights Reserved.

Duke Scholars

Author William L. Pardon Mathematics