Tensor products of categories of equivariant perverse sheaves

Volodymyr Lyubashenko

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2002)

  • Volume: 43, Issue: 1, page 49-79
  • ISSN: 1245-530X

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Lyubashenko, Volodymyr. "Tensor products of categories of equivariant perverse sheaves." Cahiers de Topologie et Géométrie Différentielle Catégoriques 43.1 (2002): 49-79. <http://eudml.org/doc/91654>.

@article{Lyubashenko2002,
author = {Lyubashenko, Volodymyr},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {1},
pages = {49-79},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Tensor products of categories of equivariant perverse sheaves},
url = {http://eudml.org/doc/91654},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Lyubashenko, Volodymyr
TI - Tensor products of categories of equivariant perverse sheaves
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2002
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 43
IS - 1
SP - 49
EP - 79
LA - eng
UR - http://eudml.org/doc/91654
ER -

References

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  1. [1] A.A. Beilinson, J. Bernstein and P. Deligne, Faisceaux pervers, Astérisque, No. 100, 1982. Zbl0536.14011MR751966
  2. [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. Zbl0864.17006MR1322847
  3. [3] J. Bernstein and V. Lunts, Equivariant sheaves and functors, Lecture Notes in Math., vol. 1578, Springer, Berlin, Heidelberg, 1994. Zbl0808.14038MR1299527
  4. [4] A. Borel, Sheaf theoretic intersection cohomology, Intersection Cohomology, Progress in Mathematics, no. 50, Birkhäuser, Boston, 1984, pp. 47-182. MR788176
  5. [5] H. Cartan and S. Eilenberg, Homological algebra, Princeton Mathematical Series, vol. 19, Princeton University Press, Princeton, New Jersey, 1956. Zbl0075.24305MR77480
  6. [6] P. Deligne, Catégories tannakiennes, The Grothendieck Festschrift, Vol. II, Progress in Mathematics, vol. 87, pp. 111-195, Birkhäuser, Boston, Basel, Berlin, 1991. Zbl0727.14010MR1106898
  7. [7] P. Deligne and J.S. Milne, Tannakian categories, Lecture Notes in Math., 900 (Berlin), Springer-Verlag, 1982, 420 p. Zbl0477.14004
  8. [8] T. Kerler and V.V. Lyubashenko, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, to appear. Zbl0982.57013MR1862634
  9. [9] V.V. Lyubashenko, Squared Hopf algebras, Mem. Amer. Math. Soc.142 (1999), no. 677, 184 p. Zbl1230.18001MR1625495
  10. [10] V.V. Lyubashenko, External tensor product of perverse sheaves, Ukrainian Math. J.53 (2001), no. 3, to appear. Zbl0996.14008MR1834663
  11. [11] R. Mirollo and K. Vilonen, Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves, Ann. scient. Éc. Norm. Sup., 4e série 20 (1987), 311-323. Zbl0651.14010MR925719

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