The Witten deformation of the Dolbeault complex

Autor:	Peter B. Gilkey, J.A. Álvarez López
Rok vydání:	2021
Předmět:	Pure mathematics Deformation (mechanics) Bar (music) Zero (complex analysis) Lower order Geometry and Topology Kähler manifold Type (model theory) Mathematics::Symplectic Geometry Omega Mathematics
Zdroj:	Journal of Geometry. 112
ISSN:	1420-8997 0047-2468
Popis:	We introduce a Witten–Novikov type perturbation $$\bar{\partial }_{\bar{\omega }}$$ of the Dolbeault complex of any complex Kahler manifold, defined by a form $$\omega $$ of type (1, 0) with $$\partial \omega =0$$ . We give an explicit description of the associated index density which shows that it exhibits a nontrivial dependence on $$\omega $$ . The heat invariants of lower order are shown to be zero.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::90f789c6f2740deb73a120d621f5cfc5 https://doi.org/10.1007/s00022-021-00589-0 Zobrazit plný text záznamu Full text from SpringerLink