Cobordisms of fold maps of 4-manifolds into the space

Abstract

We compute the oriented cobordism group of fold maps of 4-manifolds into the space with all the possible restrictions (and also with no restriction) to the singular fibers. We also give geometric invariants which describe completely the cobordism group of fold maps.

11 pages, revised version

References in corpus (5)

• Cobordism invariants of fold maps
• Cobordisms of maps without prescribed singularities
• Cobordism of fold maps, stably framed manifolds and immersions
• Fold cobordisms and stable homotopy groups
• Cobordisms of fold maps and maps with prescribed number of cusps