Atiyah-Singer indizearen teorema (Basque Wikipedia)

Analysis of information sources in references of the Wikipedia article "Atiyah-Singer indizearen teorema" in Basque language version.

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ams.org

(Ingelesez) Atiyah, M. F.; Singer, I. M.. (1963). «The index of elliptic operators on compact manifolds» Bulletin of the American Mathematical Society 69 (3): 422–433. doi:10.1090/S0002-9904-1963-10957-X. ISSN 0002-9904. (Noiz kontsultatua: 2022-12-24).
M. F. Atiyah, I. M. Singer. (1963). The Index of Elliptic Operators on Compact Manifolds. American Mathematical Society (AMS), An announcement of the index theorem., 69, 422-43 or. ISBN https://doi.org/10.1090%2FS0002-9904-1963-10957-X..
(Ingelesez) Kirby, R. C.; Siebenmann, L. C.. (1969). «On the triangulation of manifolds and the Hauptvermutung» Bulletin of the American Mathematical Society 75 (4): 742–749. doi:10.1090/S0002-9904-1969-12271-8. ISSN 0002-9904. (Noiz kontsultatua: 2022-12-29).

dmitripavlov.org

Atiyah, M.F.. (1970). Global theory of elliptic operators. .

doi.org

dx.doi.org

(Ingelesez) Atiyah, M. F.; Singer, I. M.. (1963). «The index of elliptic operators on compact manifolds» Bulletin of the American Mathematical Society 69 (3): 422–433. doi:10.1090/S0002-9904-1963-10957-X. ISSN 0002-9904. (Noiz kontsultatua: 2022-12-24).
Gel'fand, I M. (1960-06-30). «ON ELLIPTIC EQUATIONS» Russian Mathematical Surveys 15 (3): 113–123. doi:10.1070/RM1960v015n03ABEH004094. ISSN 0036-0279. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1968). «The Index of Elliptic Operators: I» Annals of Mathematics 87 (3): 484–530. doi:10.2307/1970715. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1968). «The Index of Elliptic Operators: III» Annals of Mathematics 87 (3): 546–604. doi:10.2307/1970717. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1971). «The Index of Elliptic Operators: IV» Annals of Mathematics 93 (1): 119–138. doi:10.2307/1970756. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1971). «The Index of Elliptic Operators: V» Annals of Mathematics 93 (1): 139–149. doi:10.2307/1970757. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Novikov, S. P.. (1965, Translated by J. M. Danskin, 2009). «Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds» Topological Library (World Scientific.) Volume 44: 185–203. doi:10.1142/9789812836878_0004. ISBN 978-981-283-686-1. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Kirby, R. C.; Siebenmann, L. C.. (1969). «On the triangulation of manifolds and the Hauptvermutung» Bulletin of the American Mathematical Society 75 (4): 742–749. doi:10.1090/S0002-9904-1969-12271-8. ISSN 0002-9904. (Noiz kontsultatua: 2022-12-29).
Kasparov, G G. (1975). «Topological Invariants of Elliptic Operators. I: K-Homology» Mathematics of the USSR-Izvestiya 9 (4): 751–792. doi:10.1070/im1975v009n04abeh001497. ISSN 0025-5726. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Atiyah, M.; Bott, R.; Patodi, V. K.. (1973-12-01). «On the heat equation and the index theorem» Inventiones mathematicae 19 (4): 279–330. doi:10.1007/BF01425417. ISSN 1432-1297. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Getzler, Ezra. (1983-06). «Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem» Communications in Mathematical Physics 92 (2): 163–178. doi:10.1007/BF01210843. ISSN 0010-3616. (Noiz kontsultatua: 2022-12-29).
Witten, Edward. (1982-01-01). «Supersymmetry and Morse theory» Journal of Differential Geometry 17 (4) doi:10.4310/jdg/1214437492. ISSN 0022-040X. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Teleman, Nicolae. (1983-12). «The index of signature operators on Lipschitz manifolds» Publications mathématiques de l'IHÉS 58 (1): 39–78. doi:10.1007/BF02953772. ISSN 0073-8301. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Teleman, Nicolae. (1984). «The index theorem for topological manifolds» Acta Mathematica 153 (0): 117–152. doi:10.1007/BF02392376. ISSN 0001-5962. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Connes, Alain. (1985-12). «Non-commutative differential geometry» Publications mathématiques de l'IHÉS 62 (1): 41–144. doi:10.1007/BF02698807. ISSN 0073-8301. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Donaldson, S. K.; Sullivan, D. P.. (1989). «Quasiconformal 4-manifolds» Acta Mathematica 163 (0): 181–252. doi:10.1007/BF02392736. ISSN 0001-5962. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Connes, Alain; Moscovici, Henri. (1990). «Cyclic cohomology, the Novikov conjecture and hyperbolic groups» Topology 29 (3): 345–388. doi:10.1016/0040-9383(90)90003-3. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Connes, Alain; Sullivan, Dennis; Teleman, Nicolas. (1994-10). «Quasiconformal mappings, operators on hilbert space, and local formulae for characteristic classes» Topology 33 (4): 663–681. doi:10.1016/0040-9383(94)90003-5. (Noiz kontsultatua: 2022-12-29).
Shanahan, Patrick. (1978). The Atiyah-Singer Index Theorem. Springer Berlin Heidelberg doi:10.1007/bfb0068264. ISBN 978-3-540-08660-4. (Noiz kontsultatua: 2022-12-30).

doi.org

Kasparov, G G. (1975). «Topological Invariants of Elliptic Operators. I: K-Homology» Mathematics of the USSR-Izvestiya 9 (4): 751–792. doi:10.1070/im1975v009n04abeh001497. ISSN 0025-5726. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Atiyah, M.; Bott, R.; Patodi, V. K.. (1973-12-01). «On the heat equation and the index theorem» Inventiones mathematicae 19 (4): 279–330. doi:10.1007/BF01425417. ISSN 1432-1297. (Noiz kontsultatua: 2022-12-29).

elsevier.com

linkinghub.elsevier.com

(Ingelesez) Connes, Alain; Moscovici, Henri. (1990). «Cyclic cohomology, the Novikov conjecture and hyperbolic groups» Topology 29 (3): 345–388. doi:10.1016/0040-9383(90)90003-3. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Connes, Alain; Sullivan, Dennis; Teleman, Nicolas. (1994-10). «Quasiconformal mappings, operators on hilbert space, and local formulae for characteristic classes» Topology 33 (4): 663–681. doi:10.1016/0040-9383(94)90003-5. (Noiz kontsultatua: 2022-12-29).

iop.org

stacks.iop.org

Gel'fand, I M. (1960-06-30). «ON ELLIPTIC EQUATIONS» Russian Mathematical Surveys 15 (3): 113–123. doi:10.1070/RM1960v015n03ABEH004094. ISSN 0036-0279. (Noiz kontsultatua: 2022-12-29).

jstor.org

Atiyah, M. F.; Singer, I. M.. (1968). «The Index of Elliptic Operators: I» Annals of Mathematics 87 (3): 484–530. doi:10.2307/1970715. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1968). «The Index of Elliptic Operators: III» Annals of Mathematics 87 (3): 546–604. doi:10.2307/1970717. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1971). «The Index of Elliptic Operators: IV» Annals of Mathematics 93 (1): 119–138. doi:10.2307/1970756. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1971). «The Index of Elliptic Operators: V» Annals of Mathematics 93 (1): 139–149. doi:10.2307/1970757. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).

mathnet.ru

«I. M. Singer, “Future extensions of index theory and elliptic operators”, Matematika, 18:1 (1974), 52–61; Ann. of Math. Studies, 1971, 171–185» www.mathnet.ru (Noiz kontsultatua: 2022-12-29).

nih.gov

pubmedcentral.nih.gov

Palais, Richard S.. (1965). Seminar on the Atiyah-Singer index theorem. Princeton University Press ISBN 0-691-08031-3. PMC 529768. (Noiz kontsultatua: 2022-12-29).
Melrose, Richard B.. (1993). The Atiyah-Patodi-Singer index theorem. A.K. Peters ISBN 1-56881-002-4. PMC 27936385. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Sullivan, Dennis. (1977). Geometric Topology. Proceedings of the 1977 Georgia Topology Conference ISBN 0-12-158860-2. PMC 4593809. (Noiz kontsultatua: 2022-12-29).
Lawson, H. Blaine, Jr.. (1989). Spin geometry. ISBN 0-691-08542-0. PMC 19626011. (Noiz kontsultatua: 2022-12-30).

numdam.org

(Frantsesez) Henri Cartan, Laurent Schwartz. (1965). Théorème d'Atiyah-Singer sur l'indice d'un opérateur différentiel elliptique. 16 année: 1963/64 .. Séminaire, Fasc. 1 (Exp. Nos. 1 à 15), Fasc. 2 (Exp. Nos. 16 à 25) or. (Noiz kontsultatua: 2022-12-29).

projecteuclid.org

Witten, Edward. (1982-01-01). «Supersymmetry and Morse theory» Journal of Differential Geometry 17 (4) doi:10.4310/jdg/1214437492. ISSN 0022-040X. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Teleman, Nicolae. (1984). «The index theorem for topological manifolds» Acta Mathematica 153 (0): 117–152. doi:10.1007/BF02392376. ISSN 0001-5962. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Donaldson, S. K.; Sullivan, D. P.. (1989). «Quasiconformal 4-manifolds» Acta Mathematica 163 (0): 181–252. doi:10.1007/BF02392736. ISSN 0001-5962. (Noiz kontsultatua: 2022-12-29).

springer.com

link.springer.com

(Ingelesez) Getzler, Ezra. (1983-06). «Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem» Communications in Mathematical Physics 92 (2): 163–178. doi:10.1007/BF01210843. ISSN 0010-3616. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Teleman, Nicolae. (1983-12). «The index of signature operators on Lipschitz manifolds» Publications mathématiques de l'IHÉS 58 (1): 39–78. doi:10.1007/BF02953772. ISSN 0073-8301. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Connes, Alain. (1985-12). «Non-commutative differential geometry» Publications mathématiques de l'IHÉS 62 (1): 41–144. doi:10.1007/BF02698807. ISSN 0073-8301. (Noiz kontsultatua: 2022-12-29).
Shanahan, Patrick. (1978). The Atiyah-Singer Index Theorem. Springer Berlin Heidelberg doi:10.1007/bfb0068264. ISBN 978-3-540-08660-4. (Noiz kontsultatua: 2022-12-30).

worldcat.org

(Ingelesez) Atiyah, M. F.; Singer, I. M.. (1963). «The index of elliptic operators on compact manifolds» Bulletin of the American Mathematical Society 69 (3): 422–433. doi:10.1090/S0002-9904-1963-10957-X. ISSN 0002-9904. (Noiz kontsultatua: 2022-12-24).
Gel'fand, I M. (1960-06-30). «ON ELLIPTIC EQUATIONS» Russian Mathematical Surveys 15 (3): 113–123. doi:10.1070/RM1960v015n03ABEH004094. ISSN 0036-0279. (Noiz kontsultatua: 2022-12-29).
Palais, Richard S.. (1965). Seminar on the Atiyah-Singer index theorem. Princeton University Press ISBN 0-691-08031-3. PMC 529768. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1968). «The Index of Elliptic Operators: I» Annals of Mathematics 87 (3): 484–530. doi:10.2307/1970715. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1968). «The Index of Elliptic Operators: III» Annals of Mathematics 87 (3): 546–604. doi:10.2307/1970717. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1971). «The Index of Elliptic Operators: IV» Annals of Mathematics 93 (1): 119–138. doi:10.2307/1970756. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
Atiyah, M. F.; Singer, I. M.. (1971). «The Index of Elliptic Operators: V» Annals of Mathematics 93 (1): 139–149. doi:10.2307/1970757. ISSN 0003-486X. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Kirby, R. C.; Siebenmann, L. C.. (1969). «On the triangulation of manifolds and the Hauptvermutung» Bulletin of the American Mathematical Society 75 (4): 742–749. doi:10.1090/S0002-9904-1969-12271-8. ISSN 0002-9904. (Noiz kontsultatua: 2022-12-29).
Kasparov, G G. (1975). «Topological Invariants of Elliptic Operators. I: K-Homology» Mathematics of the USSR-Izvestiya 9 (4): 751–792. doi:10.1070/im1975v009n04abeh001497. ISSN 0025-5726. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Atiyah, M.; Bott, R.; Patodi, V. K.. (1973-12-01). «On the heat equation and the index theorem» Inventiones mathematicae 19 (4): 279–330. doi:10.1007/BF01425417. ISSN 1432-1297. (Noiz kontsultatua: 2022-12-29).
Melrose, Richard B.. (1993). The Atiyah-Patodi-Singer index theorem. A.K. Peters ISBN 1-56881-002-4. PMC 27936385. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Getzler, Ezra. (1983-06). «Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem» Communications in Mathematical Physics 92 (2): 163–178. doi:10.1007/BF01210843. ISSN 0010-3616. (Noiz kontsultatua: 2022-12-29).
Witten, Edward. (1982-01-01). «Supersymmetry and Morse theory» Journal of Differential Geometry 17 (4) doi:10.4310/jdg/1214437492. ISSN 0022-040X. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Teleman, Nicolae. (1983-12). «The index of signature operators on Lipschitz manifolds» Publications mathématiques de l'IHÉS 58 (1): 39–78. doi:10.1007/BF02953772. ISSN 0073-8301. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Teleman, Nicolae. (1984). «The index theorem for topological manifolds» Acta Mathematica 153 (0): 117–152. doi:10.1007/BF02392376. ISSN 0001-5962. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Connes, Alain. (1985-12). «Non-commutative differential geometry» Publications mathématiques de l'IHÉS 62 (1): 41–144. doi:10.1007/BF02698807. ISSN 0073-8301. (Noiz kontsultatua: 2022-12-29).
(Ingelesez) Donaldson, S. K.; Sullivan, D. P.. (1989). «Quasiconformal 4-manifolds» Acta Mathematica 163 (0): 181–252. doi:10.1007/BF02392736. ISSN 0001-5962. (Noiz kontsultatua: 2022-12-29).
Lawson, H. Blaine, Jr.. (1989). Spin geometry. ISBN 0-691-08542-0. PMC 19626011. (Noiz kontsultatua: 2022-12-30).

worldscientific.com

Novikov, S. P.. (1965, Translated by J. M. Danskin, 2009). «Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds» Topological Library (World Scientific.) Volume 44: 185–203. doi:10.1142/9789812836878_0004. ISBN 978-981-283-686-1. (Noiz kontsultatua: 2022-12-29).