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. 
@article{CMFD_2009_34_a3,
     author = {V. E. Nazaikinskii and A. Yu. Savin and B. Yu. Sternin},
     title = {Atiyah--Bott index on stratified manifolds},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {100--108},
     publisher = {mathdoc},
     volume = {34},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2009_34_a3/}
}
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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/