M. F. Atiyah, I. M. Singer, “The index of elliptic operators. III”, Russian Math. Surveys, 24:1 (1969)

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Uspekhi Matematicheskikh Nauk, 1969, Volume 24, Issue 1(145), Pages 127–182 (Mi rm5453)

This article is cited in 33 scientific papers (total in 33 papers)

The index of elliptic operators. III

M. F. Atiyah, I. M. Singer

Full-text PDF (5588 kB) Citations (33)

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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. III”, Russian Math. Surveys, 24:1 (1969)

Citation in format AMSBIB

\Bibitem{AtiSin69}

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

\paper The index of elliptic operators.~III

\jour Russian Math. Surveys

\yr 1969

\vol 24

\issue 1

\mathnet{http://mi.mathnet.ru/eng/rm5453}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=256417}

\zmath{https://zbmath.org/?q=an:0164.24301}

Linking options:

https://www.mathnet.ru/eng/rm5453

https://www.mathnet.ru/eng/rm/v24/i1/p127

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 33 articles:

A. N. Trefilov, “Atiyah–Patodi–Singer $\eta$ -invariant and invariants of finite degree”, J. Math. Sci. (N. Y.), 212:5 (2016), 622–642
A. Yu. Savin, B. Yu. Sternin, “On the index of noncommutative elliptic operators over $C^*$ -algebras”, Sb. Math., 201:3 (2010), 377–417
T. E. Panov, “Calculation of Hirzebruch genera for manifolds acted on by the group $\mathbf Z/p$ via invariants of the action”, Izv. Math., 62:3 (1998), 515–548
T. E. Panov, “Elliptic genus for manifolds with an action of the group $\mathbb Z/p$ ”, Russian Math. Surveys, 52:2 (1997), 418–419
A. N. Varchenko, “On the local residue and the intersection form on the vanishing cohomology”, Math. USSR-Izv., 26:1 (1986), 31–52
S. M. Gusein-Zade, “Index of a singular point of a gradient vector field”, Funct. Anal. Appl., 18:1 (1984), 6–10
P. A. Kuchment, “Floquet theory for partial differential equations”, Russian Math. Surveys, 37:4 (1982), 1–60
A. S. Mishchenko, Yu. P. Solov'ev, “Representations of Banach algebras and formulas of Hirzebruch type”, Math. USSR-Sb., 39:2 (1981), 189–205
M. A. Shubin, “The spectral theory and the index of elliptic operators with almost periodic coefficients”, Russian Math. Surveys, 34:2 (1979), 109–157
A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$ -algebras”, Math. USSR-Izv., 15:1 (1980), 87–112
V. I. Zvonilov, “Refinement of the Petrovskii–Arnol'd inequality for curves of odd degree”, Funct. Anal. Appl., 13:4 (1979), 262–268
M. A. Shubin, “Almost periodic functions and partial differential operators”, Russian Math. Surveys, 33:2 (1978), 1–52
V. I. Arnol'd, “Index of a singular point of a vector field, the Petrovskii–Oleinik inequality, and mixed hodge structures”, Funct. Anal. Appl., 12:1 (1978), 1–12
A. S. Mishchenko, “Hermitian $K$ -theory. The theory of characteristic classes and methods of functional analysis”, Russian Math. Surveys, 31:2 (1976), 71–138
V. P. Palamodov, “Deformations of complex spaces”, Russian Math. Surveys, 31:3 (1976), 129–197
B. V. Fedosov, “An analytic formula for the index of an elliptic boundary value problem. III”, Math. USSR-Sb., 30:3 (1976), 341–359
V. M. Kharlamov, “The topological type of nonsingular surfaces in $\mathbb{RP}^3$ of degree four”, Funct. Anal. Appl., 10:4 (1976), 295–305
G. A. Kats, “Wall groups of finite groups and $\Pi$ -signatures of manifolds”, Math. USSR-Sb., 27:2 (1975), 163–181
V. M. Kharlamov, “Additional congruences for the Euler characteristic of real algebraic manifolds of even dimensions”, Funct. Anal. Appl., 9:2 (1975), 134–141
V. M. Kharlamov, “A generalized Petrovskii inequality. II”, Funct. Anal. Appl., 9:3 (1975), 266–268

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

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