Papers published in the English version of the journal

On the topological index of elliptic operators on two-dimensional manifolds with cylindrical ends

H. H. Abbas, K. N. Zhuikov, A. Yu. Savin

RUDN University, Moscow, Russia

Abstract: The topological index of elliptic operators on a two-dimensional manifold with cylindrical ends is constructed in terms of periodic cyclic cohomology of the algebra of symbols of these operators. The topological index for operators with shifts is constructed in the same way.

Keywords: elliptic operator, manifold with cylindrical ends, periodic cyclic cohomology, topological index.

MSC: 58J20, 58J40, 13D03

Received: 03.11.2024
Revised: 03.11.2024

Language: English

 English version: Mathematical Notes, 2024, 116:6, 1159–1169

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