Irreducible holomorphic symplectic manifolds and monodromy operators

  • Claudio Onorati

Student thesis: Doctoral ThesisPhD

Abstract

One of the most important tools to study the geometry of irreducible holomorphic symplectic manifolds is the monodromy group. The first part of this dissertation concerns the construction and studyof monodromy operators on irreducible holomorphic symplectic manifolds which are deformation equivalent to the 10-dimensional example constructed by O'Grady.The second part uses the knowledge of the monodromy group to compute the number of connected components of moduli spaces of bothmarked and polarised irreducible holomorphic symplectic manifolds which are deformationequivalent to generalised Kummer varieties.
Date of Award22 Nov 2018
LanguageEnglish
Awarding Institution
  • University of Bath
SupervisorGregory Sankaran (Supervisor)

Keywords

  • irreducible symplectic manifold
  • monodromy operators
  • intermediate Lagrangian fibrations

Cite this

Irreducible holomorphic symplectic manifolds and monodromy operators
Onorati, C. (Author). 22 Nov 2018

Student thesis: Doctoral ThesisPhD