Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On Moduli Space of Higgs GO(m,ℂ) Bundles Over a Riemann Surface


Affiliations
1 Institute of Mathematical Sciences, C.I.T Campus, Tharamani, Chennai-600113, India
     

   Subscribe/Renew Journal


Let X be a compact connected Riemann surface; the holomorphic cotangent bundle of X will be denoted by KX. Let MH denote the moduli space of semi-stable Higgs GO(m,ℂ)-bundles over X of fixed topological type. The complex variety MH has a natural holomorphic symplectic structure. On the other hand, for any d0≥1, the Liouville symplectic form on the total space of KX defines a holomorphic symplectic structure on the Hilbert scheme Hilbd0 (KX) parametrizing the 0-dimensional subschemes of KX. We relate the symplectic form on Hilbd0 (KX) with the symplectic form on MH.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 210

PDF Views: 0




  • On Moduli Space of Higgs GO(m,ℂ) Bundles Over a Riemann Surface

Abstract Views: 210  |  PDF Views: 0

Authors

Sarbeswar Pal
Institute of Mathematical Sciences, C.I.T Campus, Tharamani, Chennai-600113, India

Abstract


Let X be a compact connected Riemann surface; the holomorphic cotangent bundle of X will be denoted by KX. Let MH denote the moduli space of semi-stable Higgs GO(m,ℂ)-bundles over X of fixed topological type. The complex variety MH has a natural holomorphic symplectic structure. On the other hand, for any d0≥1, the Liouville symplectic form on the total space of KX defines a holomorphic symplectic structure on the Hilbert scheme Hilbd0 (KX) parametrizing the 0-dimensional subschemes of KX. We relate the symplectic form on Hilbd0 (KX) with the symplectic form on MH.