Index of transversally elliptic D-modules

 Access to full text

 Full (PDF)

1. [1] Atiyah M.F, Elliptic Operators and Compact Groups, Lect. Notes in Math., 401, Springer-Verlag, 1974. Zbl0297.58009MR482866
2. [2] Atiyah M.F, Bott R, A Lefschetz fixed point formula for elliptic complexes: I, Ann. Math.86 (1967) 374-407. Zbl0161.43201MR212836
3. [3] Atiyah M.F, Bott R, A Lefschetz fixed point formula for elliptic complexes: II, Ann. Math.88 (1968) 451-491. Zbl0167.21703MR232406
4. [4] Beilinson A.A, Bernstein J, Deligne P, Faisceaux pervers, Astérisque, 100, 1982. Zbl0536.14011MR751966
5. [5] Berline N, Vergne M, The Chern character of a transversally elliptic symbol and the equivariant index, Invent. Math.124 (1996) 11-49. Zbl0847.46037MR1369410
6. [6] Brylinski J.L, Differential Operators on the Flag Varieties, Astérisque, 87–88, 1981. Zbl0537.14010
7. [7] D'Agnolo A, Schapira P, Radon–Penrose transform for D-modules, J. Funct. Anal.139 (1996) 349-382. Zbl0879.32012
8. [8] Duflo M, Heckman G, Vergne M, Projection d'orbites, formule de Kirillov et formule de Blattner, in: Harmonic Analysis on Lie Groups and Symmetric Spaces, Mem. Soc. Math. France, 15, 1984, pp. 12-65. Zbl0575.22014MR789081
9. [9] Grothendieck A, La théorie de Fredholm, Bull. Soc. Math. France84 (1956) 319-384. Zbl0073.10101MR88665
10. [10] Grothendieck A, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc.16 (1955). Zbl0123.30301MR75539
11. [11] Guillermou S, Lefschetz class of elliptic pairs, Duke Math. J.85 (1996) 273-314. Zbl0876.58046MR1417618
12. [12] Harish-Chandra, Invariant eigendistributions on a semisimple Lie group, Trans. Amer. Math. Soc.119 (1965) 457-508. Zbl0199.46402MR180631
13. [13] Hotta R, Kashiwara M, The invariant holonomic system on a semisimple Lie algebra, Invent. Math.75 (1984) 327-358. Zbl0538.22013MR732550
14. [14] Kashiwara M, Character, character cycle, fixed point theorem and group representations, in: Representations of Lie Groups, Adv. Stud. Pure Math., 14, 1988, pp. 369-378. Zbl0699.22024MR1039844
15. [15] Kashiwara M, D-modules and representation theory of Lie groups, Ann. Inst. Fourier43 (1993) 1597-1618. Zbl0823.22013MR1275211
16. [16] Kashiwara M, Schapira P, Sheaves on Manifolds, Grundlehren der Mathematischen Wissenschaften, 292, Springer-Verlag, 1990. Zbl0709.18001MR1074006
17. [17] Kashiwara M, Schapira P, Moderate and formal cohomology associated with constructible sheaves, Mem. Soc. Math. France (N.S.), 64, 1996. Zbl0881.58060MR1421293
18. [18] Kashiwara M, Schmid W, Quasi-equivariant D-modules, equivariant derived category, and representations of reductive Lie groups, in: Lie Theory and Geometry, Prog. Math., 123, 1994, pp. 457-488. Zbl0854.22014MR1327544
19. [19] Mirkovic I, Uzawa T, Vilonen K, Matsuki correspondence for sheaves, Invent. Math.109 (1992) 231-245. Zbl0789.53033MR1172690
20. [20] Ochiai H, Characters and character cycles, J. Math. Soc. Japan45 (1993) 583-598. Zbl0840.22021MR1239337
21. [21] Sato M, Kawai T, Kashiwara M, Microfunctions and pseudo-differential equations, in: Hyperfunctions Pseudo-Differential Equations, Proc. Conf. Katata 1971, Lect. Notes in Math., 287, 1973, pp. 263-529. Zbl0277.46039MR420735
22. [22] Schapira P, Schneiders J.-P, Index Theorem for Elliptic Pairs, Astérisque, 224, 1994. Zbl0856.58037
23. [23] Schmid W, Vilonen K, Characters, fixed points and Osborne's conjecture, in: Representation Theory of Groups and Algebras, Contemp. Math., 145, 1993, pp. 287-303. Zbl0811.22006MR1216196
24. [24] Schneiders J.-P, Quasi-Abelian Categories and Sheaves, Mem. Soc. Math. France (N.S.), 76, 1999. Zbl0926.18004MR1779315
25. [25] Trèves F, Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1967. Zbl0171.10402MR225131