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This article is cited in 2 scientific papers (total in 2 papers)
Abelian monopoles: the case of a positive-dimensional moduli space
N. A. Tyurin Moscow State University of Transportation
Abstract:
In this paper we consider (in the framework of the general Seiberg–Witten theory) the case when the moduli space of solutions of the Seiberg–Witten equations has positive even dimension. We describe a connection between the Seiberg–Witten invariants of a given manifold $X$ and those of the connected sum $Y=X \# d\overline{\mathbb{CP}}^2$ where $d=(1/2)\operatorname{v.dim}\mathcal M_{SW}$. We introduce the notion of a complex structure with degeneration (based on the connection between spinor geometry and complex geometry) and generalize the notion of a pseudoholomorphic curve to the case when the underlying manifold a priori has no almost complex structure.
Received: 02.02.1999
Citation:
N. A. Tyurin, “Abelian monopoles: the case of a positive-dimensional moduli space”, Izv. RAN. Ser. Mat., 64:1 (2000), 197–210; Izv. Math., 64:1 (2000), 193–206
Linking options:
https://www.mathnet.ru/eng/im279https://doi.org/10.1070/im2000v064n01ABEH000279 https://www.mathnet.ru/eng/im/v64/i1/p197
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Abstract page: | 318 | Russian version PDF: | 184 | English version PDF: | 13 | References: | 47 | First page: | 1 |
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