Cobordism of fold maps, stably framed manifolds and immersions

Abstract

We give complete geometric invariants of cobordisms of fold maps with oriented singular set and cobordisms of even codimensional fold maps. These invariants are given in terms of cobordisms of stably framed manifolds and cobordisms of immersions with prescribed normal bundles defined by the author in his earlier works.

8 pages, revised

References in corpus (5)

• Cobordism invariants of fold maps
• Cobordisms of maps without prescribed singularities
• Fold cobordisms and stable homotopy groups
• Cobordisms of maps with singularities of a given class
• Cobordisms of fold maps and maps with prescribed number of cusps

Cited by in corpus (3)

• Cobordisms of maps with singularities of a given class
• Fold maps and immersions from the viewpoint of cobordism
• Cobordisms of fold maps of 4-manifolds into the space