Automorphisms of C Moduli Spaces Associated to a Riemann Surface

@article{Baraglia2015AutomorphismsOC,
title={Automorphisms of C Moduli Spaces Associated to a Riemann Surface},
author={David Baraglia and Indranil Biswas and Laura P. Schaposnik},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2015},
volume={12},
pages={007}
}
• Published 26 August 2015
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group C associated to a compact connected Riemann surface.
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References

SHOWING 1-10 OF 15 REFERENCES

• Mathematics
• 2016
We construct triples of commuting real structures on the moduli space of Higgs bundles, whose fixed loci are branes of type (B, A, A), (A, B, A) and (A, A, B). We study the real points through the
Let Mn,d be the moduli space of semi‐stable rank n , trace‐free Higgs bundles with fixed determinant of degree d on a Riemann surface of genus at least 3. We determine the following automorphism
• Mathematics
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
• 1983
The Yang-Mills functional over a Riemann surface is studied from the point of view of Morse theory. The main result is that this is a ‘perfect' functional provided due account is taken of its gauge
• Mathematics
• 2007
This course serves as a follow-up of Math 506. The students are assumed to know complex analysis and have some basic knowledge in algebra and topology. The courses are divided into two parts: The
• Mathematics
• 2014
Through the action of anti-holomorphic involutions on a compact Riemann surface Σ we construct families of (A, B, A)-branes $${\mathcal{L}_{G_{c}}}$$LGc in the moduli spaces
• Mathematics
• 1978
A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications
• Mathematics
• 2006
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions. The key ingredients are