Dissertation

On cluster algebras and topological string theory

My PhD research is devoted to studies of the conjectural cluster-algebraic symmetry in the theory of topological string, which is the simplest, however already non-trivial sector in the theory of string.

Author

Semenyakin, M.

Date

15 September 2022

Links

Thesis in Leiden Repository

The language of cluster algebras is the modern tool which was initially developed for solving problems in linear algebra, and has recently been applied to the theory of integrable systems. In this dissertation we identify the cluster-algebraic nature of new classes of integrable systems of string-theoretic origin. We then show how the partition functions of topological string on the corresponding geometries can be naturally fit into a cluster-algebraic context.