Singular fibers of two-colored maps and cobordism invariants

Takahiro Yamamoto

Vol. 234 (2008), No. 2, 379–398

DOI: 10.2140/pjm.2008.234.379

Abstract

We introduce two-colored maps of n-manifolds into m-manifolds, develop the theory of their singular fibers, and study these fibers for the case m = 4 and n = 3,5.

Keywords

colored map, Thom map, stable map, singular fiber, bordism, cobordism

Mathematical Subject Classification 2000

Primary: 57R45

Secondary: 57N13

Milestones

Received: 20 April 2007

Revised: 7 November 2007

Accepted: 26 November 2007

Published: 1 February 2008