Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Categorical actions of generalised braids

De Biase, Lorenzo 2020. Categorical actions of generalised braids. PhD Thesis, Cardiff University.
Item availability restricted.

[thumbnail of Thesis_Final_version.pdf]
Preview
PDF - Accepted Post-Print Version
Download (1MB) | Preview
[thumbnail of Cardiff University Electronic Publication Form] PDF (Cardiff University Electronic Publication Form) - Supplemental Material
Restricted to Repository staff only

Download (331kB)

Abstract

In [32], Khovanov and Thomas constructed a categorical action of the braid group Brn on the derived category D(T∗Fln) of coherent sheaves on the cotangent bundle of the variety Fln of the complete flags in Cn. In this thesis, we define the generalised braid categoryGBrn, we define the notion of a skein-triangulated representation of GBr3, give a sufficient condition for the existence of a skein-triangulated representation of GBr3 and we construct a skein triangulated representation of GBr3 on D(T∗(Fl3(¯ i)) that generalises the Khovanov and Thomas categorical braid action on D(T∗Fl3).

Item Type: Thesis (PhD)
Date Type: Completion
Status: Unpublished
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Date of First Compliant Deposit: 20 April 2020
Last Modified: 06 Jan 2021 02:25
URI: https://orca.cardiff.ac.uk/id/eprint/131103

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics