Spin Borromean surgeries

Details Spin Borromean surgeries Spin Borromean surgeries

2001-04-05

arxiv.org/abs/math/0104065v2

Trans. Amer. Math. Soc. 355:10 (2003) 3991-4017

Mathematics

Geometric Topology

24 pages with 10 figures; corrected typos in this new version

Scientific paper

In 1986, Matveev defined the notion of Borromean surgery for closed oriented 3-manifolds and showed that the equivalence relation generated by this move is characterized by the pair (first betti number, linking form up to isomorphism). We explain how this extends for 3-manifolds with spin structure if we replace the linking form by the quadratic form defined by the spin structure. We then show that the equivalence relation among closed spin 3-manifolds generated by spin Borromean surgeries is characterized by the triple (first betti number, linking form up to isomorphism, Rochlin invariant modulo 8).

Affiliated with

Also associated with

No associations

Rating

Spin Borromean surgeries 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 Spin Borromean surgeries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin Borromean surgeries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602949