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Quantum Groups and Homology of Local Systems

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ICM-90 Satellite Conference Proceedings

Abstract

In this paper we “quantize” results of [SV2], Part II. We establish and study the connection between (co)homology of local systems introduced in [SV1], [SV2] and homology of nilpotent subalgebras of certain Hopf algebras very close to Drinfeld-Jimbo q-analogues of Kac-Moody algebras.

This work was supported in part by NSF Grant DMS-8610730.

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References

  1. Drinfeld, V. G., Quantum groups. Proc. ICM (Berkeley, 1986), vol. 1. Amer. Math. Soc. 1987, 198–820.

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Author information

Authors and Affiliations

  1. The Institute for Advanced Study, School of Mathematics, 08540, Princeton, NJ, USA

    Vadim V. Schechtman & Alexander N. Varchenko

Authors
  1. Vadim V. Schechtman
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  2. Alexander N. Varchenko
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Editor information

Editors and Affiliations

  1. College of General Education, Kyoto University, Yoshida-nihonmatsu, Sakyo-ku, Kyoto, 606, Japan

    Akira Fujiki

  2. Department of Mathematics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113, Japan

    Kazuya Kato  & Yujiro Kawamata  & 

  3. Department of Mathematics, Ochanomizu University, Otsuka, Bunkyo-ku, Tokyo, 112, Japan

    Toshiyuki Katsura

  4. Department of Mathematics, Rikkyo University, Nishi-ikebukuro, Toshima-ku, Tokyo, 171, Japan

    Yoichi Miyaoka

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© 1991 Springer-Verlag Tokyo

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Schechtman, V.V., Varchenko, A.N. (1991). Quantum Groups and Homology of Local Systems. In: Fujiki, A., Kato, K., Kawamata, Y., Katsura, T., Miyaoka, Y. (eds) ICM-90 Satellite Conference Proceedings. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68172-4_10

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  • DOI: https://doi.org/10.1007/978-4-431-68172-4_10

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-70086-9

  • Online ISBN: 978-4-431-68172-4

  • eBook Packages: Springer Book Archive

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