M. F. Atiyah, I. M. Singer, “The index of elliptic operators. I”, Russian Math. Surveys, 23:5 (1968)

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Uspekhi Matematicheskikh Nauk, 1968, Volume 23, Issue 5(143), Pages 99–142 (Mi rm5670)

This article is cited in 21 scientific papers (total in 21 papers)

The index of elliptic operators. I

M. F. Atiyah, I. M. Singer

Full-text PDF (4478 kB) Citations (21)

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Bibliographic databases:

Document Type: Article

UDC: 517.4+513.83

Language: Russian

Citation: M. F. Atiyah, I. M. Singer, “The index of elliptic operators. I”, Russian Math. Surveys, 23:5 (1968)

Citation in format AMSBIB

\Bibitem{AtiSin68}

\by M.~F.~Atiyah, I.~M.~Singer

\paper The index of elliptic operators.~I

\jour Russian Math. Surveys

\yr 1968

\vol 23

\issue 5

\mathnet{http://mi.mathnet.ru/eng/rm5670}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=232402}

\zmath{https://zbmath.org/?q=an:0164.24001}

Linking options:

https://www.mathnet.ru/eng/rm5670

https://www.mathnet.ru/eng/rm/v23/i5/p99

Cycle of papers

The index of elliptic operators. I
M. F. Atiyah, I. M. Singer
Uspekhi Mat. Nauk, 1968, 23:5(143), 99–142
The index of elliptic operators. II
M. F. Atiyah, G. B. Segal
Uspekhi Mat. Nauk, 1968, 23:6(144), 135–149
The index of elliptic operators. III
M. F. Atiyah, I. M. Singer
Uspekhi Mat. Nauk, 1969, 24:1(145), 127–182
The index of elliptic operators. IV
M. F. Atiyah, I. M. Singer
Uspekhi Mat. Nauk, 1972, 27:4(166), 161–178
The index of elliptic operators. V
M. F. Atiyah, I. M. Singer
Uspekhi Mat. Nauk, 1972, 27:4(166), 179–188

This publication is cited in the following 21 articles:

Yu. Amari, M. Iida, N. Sawado, “Statistical nature of Skyrme–Faddeev models in 2+1 dimensions and normalizable fermions”, Theoret. and Math. Phys., 200:3 (2019), 1253–1268
A. G. Sergeev, “Twistor geometry and gauge fields”, Trans. Moscow Math. Soc., 2018, 135–175
Izv. Math., 80:5 (2016), 958–993
A. Yu. Savin, B. Yu. Sternin, “On the index of elliptic operators for the group of dilations”, Sb. Math., 202:10 (2011), 1505–1536
A. Yu. Savin, B. Yu. Sternin, “On the index of noncommutative elliptic operators over $C^*$ -algebras”, Sb. Math., 201:3 (2010), 377–417
Yu. A. Kordyukov, “Index theory and non-commutative geometry on foliated manifolds”, Russian Math. Surveys, 64:2 (2009), 273–391
A. Yu. Savin, B. Yu. Sternin, “Elliptic operators in even subspaces”, Sb. Math., 190:8 (1999), 1195–1228
B. A. Plamenevskii, G. V. Rozenblum, “Pseudodifferential operators with discontinuous symbols: $K$ -theory and the index formula”, Funct. Anal. Appl., 26:4 (1992), 266–275
A. B. Antonevich, “Symbol of a functional-pseudodifferential operator on a compact manifold”, Funct. Anal. Appl., 22:4 (1988), 313–315
E. V. Troitskii, “The equivariant index of $C^*$ -elliptic operators”, Math. USSR-Izv., 29:1 (1987), 207–224
P. A. Kuchment, “Representations of solutions of periodic partial differential equations”, Math. USSR-Izv., 21:1 (1983), 93–117
G. G. Kasparov, “Topological invariants of elliptic operators. I. $K$ -homology”, Math. USSR-Izv., 9:4 (1975), 751–792
A. S. Mishchenko, “On Fredholm representations of discrete groups”, Funct. Anal. Appl., 9:2 (1975), 121–125
A. B. Antonevich, “Elliptic pseudodifferential operators with a finite group of shifts”, Math. USSR-Izv., 7:3 (1973), 661–673
M. F. Atya, I. M. Zinger, “Indeks ellipticheskikh operatorov. IV”, UMN, 27:4(166) (1972), 161–178
M. F. Atya, I. M. Zinger, “Indeks ellipticheskikh operatorov .V”, UMN, 27:4(166) (1972), 179–188
A. S. Dynin, “Elliptic boundary-value problems for pseudodifferential complexes”, Funct. Anal. Appl., 6:1 (1972), 67–68
F. A. Griffits, V. Shmid, “Lokalno odnorodnye kompleksnye mnogoobraziya”, UMN, 26:5(161) (1971), 117–168
B. V. Fedosov, “Index of an elliptic system on a manifold”, Funct. Anal. Appl., 4:4 (1970), 312–320
M. F. Atya, I. M. Zinger, “Indeks ellipticheskikh operatorov. III”, UMN, 24:1(145) (1969), 127–182

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	94
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