Bulletin of the American Mathematical Society

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Book Information:

Author: J. J. Duistermaat
Title: The heat kernel Lefschetz fixed point formula for the dirac operator
Additional book information: Progr. Nonlinear Differential Equations Appl., vol. 18, Birkhäuser, Basel and Boston, MA, vii+247 pp., ISBN 0-8176-3865-2, $38.50$

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M. F. Atiyah, R. Bott, and A. Shapiro, Clifford modules, Topology 3 (1964), no. suppl, suppl. 1, 3–38. MR 167985, DOI 10.1016/0040-9383(64)90003-5

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M. F. Atiyah and G. B. Segal, The index of elliptic operators. II, Ann. of Math. (2) 87 (1968), 531–545. MR 236951, DOI 10.2307/1970716

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E. Meinrenken, Symplectic surgery and the -Dirac operator, Adv. Math. (to appear).

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M. F. Atiyah, R. Bott, The Lefschetz fixed point formula for elliptic complexes I, Ann. of Math. 86 (1967), 374-407; II, Ann. of Math. 88 (1968), 451-491. MR 35:3701; MR 38:731

[ABP]

M. F. Atiyah, R. Bott, V. K. Patodi, On the heat equation and the index theorem, Invent. math. 19 (1973), 279-330.MR 0650828

[ABS]

M. F. Atiyah, R. Bott, A. A. Shapiro, Clifford modules, Topology 3 (1964), 3-38. MR 29:5250

[AS]

M. F. Atiyah, I. M. Singer, The index of elliptic operators. I, Ann. Math. 87 (1968), 484-530; III, Ann. Math. 87 (1968), 546-604; IV, Ann. Math. 93 (1971), 119-138; V, Ann. Math. 93 (1971), 139-149. MR 38:5243; MR 38:5245;MR 43:5554; MR 43:5555

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M. F. Atiyah, G. B. Segal, The index of elliptic operators II, Ann. of Math. 87 (1968), 531-545. MR 38:5244

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N. Berline, E. Getzler, M. Vergne, Heat kernels and Dirac operators., Springer-Verlag, Berlin, 1992. MR 94e:58130

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N. Berline, M. Vergne, A computation of the equivariant index of the Dirac operator, Bull. Soc. Math. Fr. 113 (1985), 305-345. MR 87f:58146

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F. Hirzebruch, A Riemann-Roch Theorem for differentiable manifolds, Séminaire Bourbaki (177) (1959).

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F. Hirzebruch and H. Hopf, Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten, Math. Annalen 136 (1958), 156-172. MR 20:7272

[L]

E. Lerman, Symplectic cuts, Math. Res. Lett 2 (1995), 247-258. MR 96f:58062

[M]

E. Meinrenken, Symplectic surgery and the -Dirac operator, Adv. Math. (to appear).

[R]

J. Roe, Elliptic operators, topology and asymptotic methods, Pitman Research Notes in Mathematics Series 179, Longman Scientific & Technical, Essex, England, 1988. MR 89j:58126

[T1]

C. H. Taubes, The Seiberg-Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994), 809-822. MR 95j:57039

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-, More constraints on symplectic forms from Seiberg-Witten invariants, Math. Res. Lett. 2 (1995), 9-13. MR 96a:57075

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