15 citations · 15 across the 1 of their papers we have counts for
5 papers
Monodromy of Rank 2 Parabolic Hitchin Systems
Georgios Kydonakis, Hao Sun, Lutian Zhao
We study the monodromy of the Hitchin fibration for moduli spaces of parabolic G-Higgs bundles in the cases when G=SL(2,R), GL(2,R) and PGL(2,R) A calculation of the orbits of the…
The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs -bundles and components of parabolic -Higgs moduli Spaces
Georgios Kydonakis, Hao Sun, Lutian Zhao
We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs -bundles. Using this correspo…
Topological invariants of parabolic -Higgs bundles
Georgios Kydonakis, Hao Sun, Lutian Zhao
For a semisimple real Lie group , we study topological properties of moduli spaces of polystable parabolic -Higgs bundles over a Riemann surface with a divisor of finitely ma…
Demonstrating research subcommunities in mathematical networks
Steven B. Bradlow, Konstantinos Kapenekakis, Georgios Kydonakis +2
We propose a method for demonstrating sub community structure in scientific networks of relatively small size from analyzing databases of publications. Research relationships betwe…
Opers versus nonabelian Hodge
Olivia Dumitrescu, Laura Fredrickson, Georgios Kydonakis +3
For a complex simple simply connected Lie group , and a compact Riemann surface , we consider two sorts of families of flat -connections over . Each family is determine…