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Some remarks on the homology of moduli space of instantons with instanton number $ 2$


Author: Yasuhiko Kamiyama
Journal: Proc. Amer. Math. Soc. 112 (1991), 297-302
MSC: Primary 57R99; Secondary 55S12, 58D27
DOI: https://doi.org/10.1090/S0002-9939-1991-1045595-7
MathSciNet review: 1045595
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $ {M_2}$ be the framed moduli space of $ {\text{SU(2)}}$ instantons with instanton number 2. By combining the results of Boyer and Mann and the results of Hattori, we determine the structure of $ {H^*}({M_2};{{\mathbf{Z}}_2})$.


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

  • [1] C. Boyer and B. Mann, Homology operations on instantons, J. Differential Geom. 28 (1988), 423-465. MR 965223 (89m:58044)
  • [2] F. Cohen, J. Lada, and P. May, The homology of iterated loop spaces, Lecture Notes in Math., vol. 533, Springer-Verlag, Berlin and New York, 1976. MR 0436146 (55:9096)
  • [3] A. Hattori, Topology of the moduli space of $ {\text{SU(2)}}$-instantons with instanton number 2, J. Fac. Sci. Univ. Tokyo 34 (1987), 741-761. MR 927608 (89m:53134)
  • [4] -, Corrections to Topology of the moduli space of $ {\text{SU(2)}}$-instantons with instanton number 2, J. Fac. Sci. Univ. Tokyo 36 (1989), 387-388. MR 1015006 (90h:53094)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1045595-7
Keywords: Instantons, loop run, Dyer-Lashof operations
Article copyright: © Copyright 1991 American Mathematical Society

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