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Marina Logares (Plymouth)
May 31, 2018 @ 11:30 am - 12:30 pm UTC+0
Symplectic geometry of the moduli space of framed Higgs bundles
Let X be a compact Riemann surface and D an effective divisor on X. The moduli space of D-twisted stable Higgs bundles on X is known to have a holomorphic Poisson structure which is in fact symplectic if and only if D is the zero divisor. We prove that this moduli space admits a natural enhancement to a holomorphic symplectic manifold. This is based on joint work in collaboration with I. Biswas and A. Peón-Nieto.