The Rank Stable Topology of Instantons on Cp
نویسنده
چکیده
Let M k be the moduli space of based (anti-self-dual) instantons on CP 2 of charge k and rank n. There is a natural inclusion M k →֒ M n+1 k . We show that the direct limit space M∞ k is homotopy equivalent to BU(k)× BU(k). Let l∞ be a line in the complex projective plane and let C̃P 2 be the blow-up at a point away from l∞. Mnk can be alternatively described as the moduli space of rank n holomorphic bundles on C̃P 2 with c1 = 0 and c2 = k and with a fixed holomorphic trivialization on l∞.
منابع مشابه
The Rank Stable Topology of Instantons on Cp
Let Mk be the moduli space of based (anti-self-dual) instantons on CP 2 of charge k and rank n. There is a natural inclusion Mk ↪→M k . We show that the direct limit space Mk is homotopy equivalent to BU(k)× BU(k). Let `∞ be a line in the complex projective plane and let C̃P 2 be the blow-up at a point away from `∞. Mk can be alternatively described as the moduli space of rank n holomorphic bund...
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