Tensor products of categories of equivariant perverse sheaves
Lyubashenko, Volodymyr
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 43 (2002), p. 49-79 / Harvested from Numdam
Publié le : 2002-01-01
@article{CTGDC_2002__43_1_49_0,
     author = {Lyubashenko, Volodymyr},
     title = {Tensor products of categories of equivariant perverse sheaves},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {43},
     year = {2002},
     pages = {49-79},
     mrnumber = {1892108},
     zbl = {1062.14024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2002__43_1_49_0}
}
Lyubashenko, Volodymyr. Tensor products of categories of equivariant perverse sheaves. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 43 (2002) pp. 49-79. http://gdmltest.u-ga.fr/item/CTGDC_2002__43_1_49_0/

[1] A.A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers, Astérisque, No. 100, 1982. | MR 751966 | Zbl 0536.14011

[2] A.A. Beilinson, V. Ginzburg and W. Soergel, Koszul duality patterns in representation theory, J. Amer. Math. Soc. 9 (1996), no. 2, 473-527. | MR 1322847 | Zbl 0864.17006

[3] J. Bernstein and V. Lunts, Equivariant sheaves and functors, Lecture Notes in Math., vol. 1578, Springer, Berlin, Heidelberg, 1994. | MR 1299527 | Zbl 0808.14038

[4] A. Borel, Sheaf theoretic intersection cohomology, Intersection Cohomology, Progress in Mathematics, no. 50, Birkhäuser, Boston, 1984, pp. 47-182. | MR 788176

[5] H. Cartan and S. Eilenberg, Homological algebra, Princeton Mathematical Series, vol. 19, Princeton University Press, Princeton, New Jersey, 1956. | MR 77480 | Zbl 0075.24305

[6] P. Deligne, Catégories tannakiennes, The Grothendieck Festschrift, Vol. II, Progress in Mathematics, vol. 87, pp. 111-195, Birkhäuser, Boston, Basel, Berlin, 1991. | MR 1106898 | Zbl 0727.14010

[7] P. Deligne and J.S. Milne, Tannakian categories, Lecture Notes in Math., 900 (Berlin), Springer-Verlag, 1982, 420 p. | Zbl 0477.14004

[8] T. Kerler and V.V. Lyubashenko, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, to appear. | MR 1862634 | Zbl 0982.57013

[9] V.V. Lyubashenko, Squared Hopf algebras, Mem. Amer. Math. Soc. 142 (1999), no. 677, 184 p. | MR 1625495

[10] V.V. Lyubashenko, External tensor product of perverse sheaves, Ukrainian Math. J. 53 (2001), no. 3, to appear. | MR 1834663 | Zbl 0996.14008

[11] R. Mirollo and K. Vilonen, Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves, Ann. scient. Éc. Norm. Sup., 4e série 20 (1987), 311-323. | Numdam | MR 925719 | Zbl 0651.14010