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
- Charles P. Boyer and Benjamin M. Mann, Homology operations on instantons, J. Differential Geom. 28 (1988), no. 3, 423–465. MR 965223
- 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
Additional Information
- © Copyright 1991 American Mathematical Society
- 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