Quasicomplexes and Lefschetz numbers
In a recent paper of Tarkhanov and Wallenta [8] a definition of Lefschetz numbers for morphisms a = (a*) of Fredholm quasicomplexes E* = (E*,d*) with trace class curvature is proposed. In the present note we show that there always exist trace class perturbations of a and E* to a cochain mapping A =...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/32910 |
| Tartalmi kivonat: | In a recent paper of Tarkhanov and Wallenta [8] a definition of Lefschetz numbers for morphisms a = (a*) of Fredholm quasicomplexes E* = (E*,d*) with trace class curvature is proposed. In the present note we show that there always exist trace class perturbations of a and E* to a cochain mapping A = (A*) of a Fredholm complex (E*, £>*), and we clarify the relation between the Lefschetz number of A relative to the perturbed complex (E*, D') and the Lefschetz number of a relative to the original quasicomplex (E',d *). Furthermore, we prove that the Lefschetz numbers relative to E* satisfy a natural commutativity property. |
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| Terjedelem/Fizikai jellemzők: | 611-621 |
| ISSN: | 0001-6969 |