Geodesic
Atiyah--Bott index on stratified manifolds
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 34 (2009), pp. 100-108.

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We define the Atiyah–Bott index on stratified manifolds and propose a formula for it in topological terms. Moreover, we give examples of the calculation of the Atiyah–Bott index for geometric operators on manifolds with edges. 
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V. E. Nazaikinskii; A. Yu. Savin; B. Yu. Sternin. Atiyah--Bott index on stratified manifolds. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 34 (2009), pp. 100-108. http://geodesic.mathdoc.fr/item/CMFD_2009_34_a3/

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