Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 38 (1990), pp. 3-118
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F. F. Voronov. Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 38 (1990), pp. 3-118. http://geodesic.mathdoc.fr/item/INTD_1990_38_a0/
@article{INTD_1990_38_a0,
author = {F. F. Voronov},
title = {Quantization on supermanifolds and an analytic proof of the {Atiyah{\textendash}Singer} index theorem},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--118},
year = {1990},
volume = {38},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1990_38_a0/}
}
TY - JOUR
AU - F. F. Voronov
TI - Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1990
SP - 3
EP - 118
VL - 38
UR - http://geodesic.mathdoc.fr/item/INTD_1990_38_a0/
LA - ru
ID - INTD_1990_38_a0
ER -
%0 Journal Article
%A F. F. Voronov
%T Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1990
%P 3-118
%V 38
%U http://geodesic.mathdoc.fr/item/INTD_1990_38_a0/
%G ru
%F INTD_1990_38_a0
An analytic proof of the Atiyah–Singer index, theorem is given with the help of the tools of supermathematics. The index formula for the Dirac operator on a spinor manifold is obtained here by direct calculation. A large portion of the paper is devoted to questions of quantization on supermanifolds, using spinors as example.
