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- W2949886979 abstract "We study the large rank limit of the moduli spaces of framed bundles on the projective plane and the blown-up projective plane. These moduli spaces are identified with various instanton moduli spaces on the 4-sphere and $cpbar $, the projective plane with the reverse orientation. We show that in the direct limit topology, these moduli spaces are homotopic to classifying spaces. For example, the moduli space of $Sp(infty)$ or $SO(infty)$ instantons on $cpbar $ has the homotopy type of $BU(k)$ where $k$ is the charge of the instantons. We use our results along with Taubes' result concerning the $kto infty $ limit to obtain a novel proof of the homotopy equivalences in the eight-fold Bott periodicity spectrum. We give explicit constructions for these moduli spaces." @default.
- W2949886979 created "2019-06-27" @default.
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- W2949886979 date "1996-12-11" @default.
- W2949886979 modified "2023-09-27" @default.
- W2949886979 title "Instantons on $S^{4}$ and $cpbar $, rank stabilization, and Bott periodicity" @default.
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