Determinant, Wall Monodromy and Spherical Functor

Loading...
Thumbnail Image

Date

2015

Journal Title

Journal ISSN

Volume Title

Repository Usage Stats

304
views
320
downloads

Abstract

We apply the definition of determinant in the compactified moduli space as a generalization of the discriminant. We study the relationship between the wall monodromy and the determinant in the GIT wall crossing. The wall monodromy is an EZ-spherical functor in the sense of Horja. By constructing a fibration structure on Z, we obtain a semi-orthogonal decomposition of the derived category of coherent sheaves of Z, hence decompose the EZ-spherical functor into a sequence of its subfunctors. We also show that the intersection multiplicity of the discriminant and the exponent of the discriminant in the determinant both have their correspondences in this decomposition.

Department

Description

Provenance

Subjects

Citation

Citation

Wang, Kangkang (2015). Determinant, Wall Monodromy and Spherical Functor. Dissertation, Duke University. Retrieved from https://hdl.handle.net/10161/11378.

Collections


Except where otherwise noted, student scholarship that was shared on DukeSpace after 2009 is made available to the public under a Creative Commons Attribution / Non-commercial / No derivatives (CC-BY-NC-ND) license. All rights in student work shared on DukeSpace before 2009 remain with the author and/or their designee, whose permission may be required for reuse.