Oriented orbifold cobordism

Kimberly Sue Druschel

Vol. 164 (1994), No. 2, 299–319

DOI: 10.2140/pjm.1994.164.299

Abstract

A complete set of invariants (generalized Pontrjagin numbers) for rational oriented orbifold cobordism is determined. Using these numbers we prove that for any odd dimensional oriented orbifold 𝒬 there is a nonzero multiple of 𝒬 which bounds another orbifold and that, unlike the manifold case, this need not be true for 4k + 2 dimensional orbifolds. In addition we construct generators for the rational orbifold cobordism ring and show that it is a free commutative ring on these.

Mathematical Subject Classification 2000

Primary: 57R75

Milestones

Received: 13 January 1992

Revised: 19 January 1993

Published: 1 June 1994