Abstract
Let K be a homology three-sphere with respect to integer coefficients. With K′ we denote the connected sum of K and ℝ3. Let M(K′) be the moduli space of charge one monopoles on K′ in the Prasad-Sommerfield limit. We continue here our study of the ends of \(\mathfrak{M}\)(K′). Especially we give a complete description of the moduli space of small mass monopoles.
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References
Donaldson, S.K. (1986). Connections, Cohomology and the Intersection Forms of 4-Manifolds. Jour. Diff. Geom. 24, 275–341
Donaldson, S.K., Kronheimer P.B., (1990). The Geometry of Four-Manifolds. Oxford University Press.
Ernst, K. (1992). The Ends of the Monopole Moduli Space over ℝ3#(Homology Sphere): Part I; in this volume.
Jaffe, A., Taubes, C. (1980). Vortices and Monopoles. Boston: Birkhäuser.
Taubes, C. (1984). Self-dual Connections on 4-Manifolds with indefinite Intersection Matrix. Jour. Diff. Geom. 19, 517–560.
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© 1995 Birkhäuser Verlag
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Ernst, K.D. (1995). The ends of the monopole moduli space over ℝ3# (homology sphere): Part II. In: Hofer, H., Taubes, C.H., Weinstein, A., Zehnder, E. (eds) The Floer Memorial Volume. Progress in Mathematics, vol 133. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9217-9_17
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DOI: https://doi.org/10.1007/978-3-0348-9217-9_17
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9948-2
Online ISBN: 978-3-0348-9217-9
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