De Biase, Lorenzo
2020.
Categorical actions
of generalised braids.
PhD Thesis,
Cardiff University.
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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) |
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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Status: | Unpublished |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 |
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