|
|
|
|
| LEADER |
01286 am a22002053u 4500 |
| 001 |
80399 |
| 042 |
|
|
|a dc
|
| 100 |
1 |
0 |
|a Mrowka, Tomasz S.
|e author
|
| 100 |
1 |
0 |
|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
|
| 100 |
1 |
0 |
|a Mrowka, Tomasz S.
|e contributor
|
| 700 |
1 |
0 |
|a Ruberman, Daniel
|e author
|
| 700 |
1 |
0 |
|a Saveliev, Nikolai
|e author
|
| 245 |
0 |
0 |
|a Seiberg-witten equations, end-periodic dirac operators, and a lift of Rohlin's invariant
|
| 260 |
|
|
|b International Press of Boston, Inc.,
|c 2013-09-11T18:02:09Z.
|
| 856 |
|
|
|z Get fulltext
|u http://hdl.handle.net/1721.1/80399
|
| 520 |
|
|
|a Author Manuscript: 4 Apr 2011
|
| 520 |
|
|
|a We introduce a gauge-theoretic integer valued lift of the Rohlin invariant of a smooth 4-manifold X with the homology of S[superscript 1]×S[superscript 3]. The invariant has two terms: one is a count of solutions to the Seiberg-Witten equations on X, and the other is essentially the index of the Dirac operator on a non-compact manifold with end modeled on the infinite cyclic cover of X. Each term is metric (and perturbation) dependent, and we show that these dependencies cancel as the metric and perturbation vary in a generic 1-parameter family.
|
| 546 |
|
|
|a en_US
|
| 655 |
7 |
|
|a Article
|
| 773 |
|
|
|t Journal of Differential Geometry
|
