|
|
|
|
| LEADER |
01332 am a22002173u 4500 |
| 001 |
104336 |
| 042 |
|
|
|a dc
|
| 100 |
1 |
0 |
|a Ruberman, Daniel
|e author
|
| 100 |
1 |
0 |
|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
|
| 100 |
1 |
0 |
|a Massachusetts Institute of Technology. School of Science
|e contributor
|
| 100 |
1 |
0 |
|a Mrowka, Tomasz S
|e contributor
|
| 700 |
1 |
0 |
|a Saveliev, Nikolai
|e author
|
| 700 |
1 |
0 |
|a Mrowka, Tomasz S
|e author
|
| 245 |
0 |
0 |
|a An index theorem for end-periodic operators
|
| 260 |
|
|
|b Cambridge University Press,
|c 2016-09-15T19:45:48Z.
|
| 856 |
|
|
|z Get fulltext
|u http://hdl.handle.net/1721.1/104336
|
| 520 |
|
|
|a We extend the Atiyah, Patodi, and Singer index theorem for first-order differential operators from the context of manifolds with cylindrical ends to manifolds with periodic ends. This theorem provides a natural complement to Taubes' Fredholm theory for general end-periodic operators. Our index theorem is expressed in terms of a new periodic eta-invariant that equals the Atiyah-Patodi-Singer eta-invariant in the cylindrical setting. We apply this periodic eta-invariant to the study of moduli spaces of Riemannian metrics of positive scalar curvature.
|
| 520 |
|
|
|a National Science Foundation (U.S.). (Grant 0805841)
|
| 546 |
|
|
|a en_US
|
| 655 |
7 |
|
|a Article
|
| 773 |
|
|
|t Compositio Mathematica
|
