Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8905134 | Advances in Mathematics | 2017 | 45 Pages |
Abstract
We prove a gluing theorem for solutions (A0,Φ0) of Hitchin's self-duality equations with logarithmic singularities on a rank-2 vector bundle over a noded Riemann surface Σ0 representing a boundary point of Teichmüller moduli space. We show that every nearby smooth Riemann surface Σ1 carries a smooth solution (A1,Φ1) of the self-duality equations, which may be viewed as a desingularization of (A0,Φ0).
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jan Swoboda,