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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] Charles P. Boyer and Benjamin M. Mann, Homology operations on instantons, J. Differential Geom. 28 (1988), no. 3, 423–465. MR 965223
  • [2] Frederick R. Cohen, Thomas J. Lada, and J. Peter May, The homology of iterated loop spaces, Lecture Notes in Mathematics, Vol. 533, Springer-Verlag, Berlin-New York, 1976. MR 0436146
  • [3] Akio Hattori, Topology of the moduli space of 𝑆𝑈(2)-instantons with instanton number 2, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 741–761. MR 927608
  • [4] Akio Hattori, Corrections to: “Topology of the moduli space of 𝑆𝑈(2)-instantons with instanton number 2” [J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 741–761; MR0927608 (89m:53134)], J. Fac. Sci. Univ. Tokyo Sect. IA Math. 36 (1989), no. 2, 387–388. MR 1015006

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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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