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Differential Equations

, Volume 46, Issue 8, pp 1145–1156 | Cite as

Index formulas for stratified manifolds

  • A. Yu. Savin
  • B. Yu. Sternin
Partial Differential Equations
  • 45 Downloads

Abstract

We consider elliptic operators on stratified manifolds with stratification of arbitrary length. Under some (symmetry-like) conditions imposed on the symbols of these operators, we obtain index formulas in which the index of an operator is expressed as the sum of indices of some (explicitly written out) elliptic operators on the strata.

Keywords

Elliptic Operator Cotangent Bundle Topological Index Principal Symbol Chern Character 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • A. Yu. Savin
    • 1
  • B. Yu. Sternin
    • 1
  1. 1.Peoples’ Friendship University of RussiaMoscowRussia

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