An SO 3 Monopole Cobordism Formula Relating Donaldson and Seiberg Witten Invariants is popular PDF and ePub book, written by Paul Feehan in 2019-01-08, it is a fantastic choice for those who relish reading online the Cobordism theory genre. Let's immerse ourselves in this engaging Cobordism theory book by exploring the summary and details provided below. Remember, An SO 3 Monopole Cobordism Formula Relating Donaldson and Seiberg Witten Invariants can be Read Online from any device for your convenience.
An SO 3 Monopole Cobordism Formula Relating Donaldson and Seiberg Witten Invariants Book PDF Summary
The authors prove an analogue of the Kotschick–Morgan Conjecture in the context of monopoles, obtaining a formula relating the Donaldson and Seiberg–Witten invariants of smooth four-manifolds using the -monopole cobordism. The main technical difficulty in the -monopole program relating the Seiberg–Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible monopoles, namely the moduli spaces of Seiberg–Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of monopoles. In this monograph, the authors prove—modulo a gluing theorem which is an extension of their earlier work—that these intersection pairings can be expressed in terms of topological data and Seiberg–Witten invariants of the four-manifold. Their proofs that the -monopole cobordism yields both the Superconformal Simple Type Conjecture of Moore, Mariño, and Peradze and Witten's Conjecture in full generality for all closed, oriented, smooth four-manifolds with and odd appear in earlier works.
Detail Book of An SO 3 Monopole Cobordism Formula Relating Donaldson and Seiberg Witten Invariants PDF
- Author : Paul Feehan
- Release : 08 January 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470414214
- Genre : Cobordism theory
- Total Page : 228 pages
- Language : English
- PDF File Size : 15,5 Mb
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