Irreducible holomorphic symplectic manifolds and monodromy operators

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 Award	22 Nov 2018
Original language	English
Awarding Institution	University of Bath
Supervisor	Gregory Sankaran (Supervisor)