Cobordism of fold maps, stably framed manifolds and immersions

2008/03/11 by Kalmar, Boldizsar
#55Q45 (Secondary) #57R42 #57R45 (Primary) #57R75 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0803.1666

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.

Related

• Cobordisms of fold maps of 4-manifolds into the space
• Cobordisms of fold maps and maps with prescribed number of cusps
• Cobordism of nested manifolds
• Cobordisms of singular maps
• Cobordism of immersions of surfaces in non-orientable 3-manifolds