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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 227–231 (Mi mzm6827)  

This article is cited in 90 scientific papers (total in 91 papers)

The cohomology ring of the colored braid group

V. I. Arnol'd

M. V. Lomonosov Moscow State University
Abstract: The cohomology ring is obtained for the space of ordered sets of n different points of a plane.
Received: 29.04.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 138–140
DOI: https://doi.org/10.1007/BF01098313
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: V. I. Arnol'd, “The cohomology ring of the colored braid group”, Mat. Zametki, 5:2 (1969), 227–231; Math. Notes, 5:2 (1969), 138–140
Citation in format AMSBIB
\Bibitem{Arn69}
\by V.~I.~Arnol'd
\paper The cohomology ring of the colored braid group
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 227--231
\mathnet{http://mi.mathnet.ru/mzm6827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=242196}
\zmath{https://zbmath.org/?q=an:0277.55002}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 138--140
\crossref{https://doi.org/10.1007/BF01098313}
Linking options:
  • https://www.mathnet.ru/eng/mzm6827
  • https://www.mathnet.ru/eng/mzm/v5/i2/p227
  • This publication is cited in the following 91 articles:
    1. Sadok Kallel, Encyclopedia of Mathematical Physics, 2025, 98  crossref
    2. Sergio Cecotti, Theoretical and Mathematical Physics, Introduction to String Theory, 2023, 67  crossref
    3. Sergio Cecotti, Theoretical and Mathematical Physics, Introduction to String Theory, 2023, 577  crossref
    4. Francisco J. Castro-Jiménez, David Mond, Luis Narváez-Macarro, Handbook of Geometry and Topology of Singularities IV, 2023, 559  crossref
    5. Sergio Cecotti, Theoretical and Mathematical Physics, Introduction to String Theory, 2023, 769  crossref
    6. V. A. Vassiliev, “On the homology of spaces of equivariant maps”, J. Topol. Anal., 2023, 1–34  mathnet  crossref
    7. Najib Idrissi, Lecture Notes in Mathematics, 2303, Real Homotopy of Configuration Spaces, 2022, 11  crossref
    8. Najib Idrissi, Lecture Notes in Mathematics, 2303, Real Homotopy of Configuration Spaces, 2022, 1  crossref
    9. Andrea Bianchi, Florian Kranhold, “Vertical Configuration Spaces and Their Homology”, The Quarterly Journal of Mathematics, 73:4 (2022), 1279  crossref
    10. Chen J., Lu Zh., Wu J., “Orbit Configuration Spaces of Small Covers and Quasi-Toric Manifolds”, Sci. China-Math., 64:1 (2021), 167–196  crossref  isi
    11. Bianchi A., “On the Homology of the Commutator Subgroup of the Pure Braid Group”, Proc. Amer. Math. Soc., 149:6 (2021), 2387–2401  crossref  isi
    12. Daisuke Kishimoto, Masahiro Takeda, “Spaces of commuting elements in the classical groups”, Advances in Mathematics, 386 (2021), 107809  crossref
    13. Daniel A Ramras, Mentor Stafa, “Homological Stability for Spaces of Commuting Elements in Lie Groups”, International Mathematics Research Notices, 2021:5 (2021), 3927  crossref
    14. Hao Li, Zhi Lü, “Crossing-changeable braids from chromatic configuration spaces”, Sci. China Math., 64:9 (2021), 2077  crossref
    15. V. A. Vassiliev, “Homology of the complex of not 2-divisible partitions”, European J. Combin., 86 (2020), 103090–7  mathnet  crossref  isi  scopus
    16. Kevin Kordek, “Picard Groups of Moduli Spaces of Curves with Symmetry”, International Mathematics Research Notices, 2020:23 (2020), 9293  crossref
    17. Alexander I. Suciu, He Wang, “Taylor expansions of groups and filtered-formality”, European Journal of Mathematics, 6:3 (2020), 1073  crossref
    18. N.L. Harshman, A.C. Knapp, “Anyons from three-body hard-core interactions in one dimension”, Annals of Physics, 412 (2020), 168003  crossref
    19. Sebastian Mizera, “Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes”, Phys. Rev. Lett., 124:14 (2020)  crossref
    20. N. V. Tsilevich, A. M. Vershik, S. Yuzvinsky, “The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group”, Arnold Math J., 6:2 (2020), 173  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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