Birationality of moduli spaces of twisted $$\mathrm {U}(p,q)$$ U ( p , q ) -Higgs bundles
نویسندگان
چکیده
منابع مشابه
MODULI SPACES OF PARABOLIC U(p, q)-HIGGS BUNDLES
Using the L-norm of the Higgs field as a Morse function, we count the number of connected components of the moduli space of parabolic U(p, q)-Higgs bundles over a Riemann surface with a finite number of marked points, under certain genericity conditions on the parabolic structure. This space is homeomorphic to the moduli space of representations of the fundamental group of the punctured surface...
متن کاملGeometry of Moduli Spaces of Higgs Bundles
We construct a Petersson-Weil type Kähler form on the moduli spaces of Higgs bundles over a compact Kähler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain determinant line bundle, equipped with a Quillen metric, on the moduli space of Higgs bundles over a projective manifold. The curvature of the Peters...
متن کاملModuli of Higgs Bundles
2 Local symplectic, complex and Kähler geometry: a quick review 10 2.1 Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 Symplectic manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 Symplectic quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Complex manifolds . . . . . . . . . . . . . . ....
متن کاملCompactification of moduli of Higgs bundles
In this paper we consider a canonical compactification of M, the moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface Σ, producing a projective variety M̄ = M∪Z. We give a detailed study of the spaces M̄, Z and M. In doing so we reprove some assertions of Laumon and Thaddeus on the nilpotent cone.
متن کاملVariation of moduli of parabolic Higgs bundles
A moduli problem in algebraic geometry is the problem of constructing a space parametrizing all objects of some kind modulo some equivalence. If the equivalence is anything but equality, one usually has to impose some sort of stability condition on the objects represented. In many cases, however, this stability condition is not canonical, but depends on a parameter, which typically varies in a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2016
ISSN: 1139-1138,1988-2807
DOI: 10.1007/s13163-016-0207-0