The Spectral Flow of the Odd Signature operator and Higher Massey Products
| dc.creator | Kirk, Paul | |
| dc.creator | Klassen, Eric | |
| dc.date | 1994-06-30 | |
| dc.date.accessioned | 2026-07-07T09:12:22Z | |
| dc.date.available | 2026-07-07T09:12:22Z | |
| dc.description | We show how to compute the spectral flow of the odd signature operator $\pm *d_{a_t}-d_{a_t}*$ along an analytic path of flat connections $a_t$ on a bundle over a closed odd-dimensional manifold in terms of Massey products in the DGLA of bundle-valued differential forms. To obtain this information, we set up a sequence of cochain complexes $\{\calg^*_n,δ_n\}$, for $n=0,1,2,\ldots$ and Hermitian forms $$Q_n:\calg_n\times\calg_n\ra \bbbC$$ whose signatures determine the spectral flow through $t=0$. The complexes and Hermitian forms are constructed using Massey products. | |
| dc.description | 35 pages, report1 | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9406007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9406007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151999 | |
| dc.subject | Differential Geometry | |
| dc.title | The Spectral Flow of the Odd Signature operator and Higher Massey Products | |
| dc.type | text |