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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

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Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Neil Chriss and Victor Ginzburg
Title: Representation theory and complex geometry
Additional book information: Birkhäuser, Boston, 1997, x + 495 pp., ISBN 0-8176-3792-3, $64.50$

References [Enhancements On Off] (What's this?)

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A. A. Beilinson, V. G. Drinfeld, Quantization of Hitchin's fibration and Langlands' program. Math. Phys. Stud. 19, Kluwer Acad. Publ. (1996), 3-7. Chiral algebras. MR 1385674
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A. Beilinson, B. Feigin, B. Mazur, Introduction to algebraic field theories on curves, preprint.
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A. Borel, F. Ehlers, P. Grivel, B. Kaup, A. Haefliger, B. Malgrange, Algebraic $D$-modules, Persp. in Math. 2, Acad. Press, Inc. (1987). MR 0882000
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L. Crane, I. B. Frenkel. Four dimensional topological quantum field theory, Hopf categories, and the canonical bases. J. Math. Phys. 35 (1994). MR 1295461
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V. Ginzburg, Perverse sheaves on a loop group and Langlands duality, preprint alg-geom/9511007.
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V. Ginzburg, E. Vasserot, Langlands reciprocity for affine quantum groups of type $A\sb n$, Internat. Math. Res. Notices (1993), 67-85. MR 1208827
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M. Khovanov, A categorification of the Jones polynomial, Preprint math.QA/9908171 (1999).
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G. Lusztig, Character sheaves I, II, III, IV, V, Adv. Math. 56 (1985), 193-237, 57 (1985), 226-265 and 266-315, 59 (1986), 1-63, 61 (1986), 103-155. MR 0792706, MR 87m:20118a, MR 87m:20118b, MR 87m:20118c
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G. Lusztig, Introduction to quantum groups, Boston, Birkhäuser, 1993. MR 1227098
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G. Lusztig, Intersection cohomology methods in representation theory, in Proceedings of the International Congress of Mathematicians, Kyoto, Springer-Verlag (1991). MR 1159211
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I. Mirkovic, K. Vilonen, Perverse sheaves on loop Grassmannians and Langlands duality, Preprint alg-geom/9703010.
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C. M. Ringel, Hall algebras and quantum groups, Invent. Math. 101 (1990), 583-592. MR 1062796

Review Information:

Reviewer: Ivan Mirković
Affiliation: University of Massachusetts at Amherst
Email: mirkovic@math.umass.edu
Journal: Bull. Amer. Math. Soc. 37 (2000), 343-349
DOI: https://doi.org/10.1090/S0273-0979-00-00864-8
Published electronically: April 3, 2000
Review copyright: © Copyright 2000 American Mathematical Society