Fold cobordisms and stable homotopy groups

Abstract

We show that the cobordism groups of negative codimensional folds maps contain direct sums of stable homotopy groups of Thom spaces of vector bundles like the circle and the infinite dimensional projective space. We give geometrical invariants which detect these direct summands.

10 pages

References in corpus (2)

• Cobordisms of maps without prescribed singularities
• Cobordisms of fold maps and maps with prescribed number of cusps

Cited by in corpus (4)

• Cobordism invariants of fold maps
• Cobordism of fold maps, stably framed manifolds and immersions
• Fold maps and immersions from the viewpoint of cobordism
• Cobordisms of fold maps of 4-manifolds into the space