This work is concerned with the Laudau-Ginzburg $A$-model, or the Fukaya-Seidel category, associated with a Laurent polynomial $f: (\C^*)^n \ o \C$. We use constructible sheaves on a real $n$-dimensional torus to describe the Lagrangian thimbles associated to $f$. Then we discuss the application to Homological Mirror Symmetry for smooth projective toric Fano variety. We also develope a general tool that allows one to deform a constructible sheaf as its singular support moves non-characteristically.

Last modified

• 03/27/2018

Creator

• Peng Zhou

DOI

• https://doi.org/10.21985/N2MX25

Subject

• Mathematics

Keyword

• Lagrangian Thimble
• Laurent Polynomial
• Constructible Sheaf
• Tropical Geometry

Date created

• 2017-01-01

Resource type

• Dissertation

Rights statement

• In Copyright