An Atiyah–Bott–Lefschetz Theorem for Relative Elliptic Complexes

Relative elliptic theory is a theory of elliptic operators for pairs of closed smooth manifolds, where is a submanifold in . We consider geometric endomorphisms of complexes in this theory and prove an analogue of Atiyah–Bott–Lefschetz fixed-point formula for such endomorphisms.

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Bibliographische Detailangaben
Veröffentlicht in:	Lobachevskii journal of mathematics 2022-10, Vol.43 (10), p.2675-2684
Hauptverfasser:	Izvarina, N. R., Savin, A. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Fixed points (mathematics) Geometry Manifolds (mathematics) Mathematical Logic and Foundations Mathematics Mathematics and Statistics Operators (mathematics) Probability Theory and Stochastic Processes
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Beschreibung
Zusammenfassung:	Relative elliptic theory is a theory of elliptic operators for pairs of closed smooth manifolds, where is a submanifold in . We consider geometric endomorphisms of complexes in this theory and prove an analogue of Atiyah–Bott–Lefschetz fixed-point formula for such endomorphisms.
ISSN:	1995-0802 1818-9962
DOI:	10.1134/S1995080222130170