The Incidence Coefficients in the Novikov Complex are generically rational functions
| dc.creator | Pajitnov, A. | |
| dc.date | 1996-03-14 | |
| dc.date.accessioned | 2026-07-07T09:12:43Z | |
| dc.date.available | 2026-07-07T09:12:43Z | |
| dc.description | For a Morse map $f:M\to S^1$ Novikov [11] has introduced an analog of Morse complex, defined over the ring $\ZZZ[[t]][t^{-1}]$ of integer Laurent power series. Novikov conjectured, that generically the matrix entries of the differentials in this complex are of the form $\sum_ia_it^i$, where $a_i$ grow at most exponentially in $i$. We prove that for any given $f$ for a $C^0$ generic gradient-like vector field all the incidence coefficients above are rational functions in $t$ (which implies obviously the exponential growth rate estimate). | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9603006 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9603006 | |
| dc.identifier | Algebra i Analiz, v.9 (1997) No.5 (in Russian). Engl. Transl: St. Petersburg Math. J. Vol.9 (1998), No.5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152117 | |
| dc.subject | Differential Geometry | |
| dc.title | The Incidence Coefficients in the Novikov Complex are generically rational functions | |
| dc.type | text |