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

Kamiyama, Yasuhiko

doi:10.1090/S0002-9939-1991-1045595-7

Some remarks on the homology of moduli space of instantons with instanton number $2$
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by Yasuhiko Kamiyama PDF

Proc. Amer. Math. Soc. 112 (1991), 297-302 Request permission

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

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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
Akio Hattori, Topology of the moduli space of $\textrm {SU}(2)$-instantons with instanton number $2$, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 741–761. MR 927608
Akio Hattori, Corrections to: “Topology of the moduli space of $\textrm {SU}(2)$-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