Cobordism invariants of fold maps

Details Cobordism invariants of fold maps Cobordism invariants of fold maps

2007-09-04

arxiv.org/abs/0709.0350v1

Real and Complex Singularities, Contemporary Mathematics vol. 459 (2008), 103--115.

Mathematics

Geometric Topology

13 pages

Scientific paper

This is a survey paper of author's results on cobordism groups and semigroups of fold maps and simple fold maps. The results include: establishing a relation between fold maps and immersions through geometrical invariants of cobordism classes of fold maps and simple fold maps in terms of immersions with prescribed normal bundles, detecting stable homotopy groups of spheres as direct summands of the cobordism semigroups of fold maps, Pontryagin-Thom type construction for -1 codimensional fold maps and estimations about the cobordism classes of manifolds which have fold maps into stably parallelizable manifolds. In the last section some of these results are extended and we show that our invariants also detect stable homotopy groups of the classifying spaces $BO(k)$ as direct summands of the cobordism semigroups of fold maps.

Affiliated with

Also associated with

No associations

Rating

Cobordism invariants of fold maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cobordism invariants of fold maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cobordism invariants of fold maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-414181