Detecting L-spaces among branched covers of L-space knots
Lead Research Organisation:
University of Cambridge
Department Name: Pure Maths and Mathematical Statistics
Abstract
I am working in the area of geometry and topology. More precisely, I am working on knot theory; a field in interplay of topology, geometry and algebraic geometry. In my project I am interested in finding if (and under what conditions) a branched cover of an L-space knot is an L-space and, more generally, answering the L-space conjecture for these spaces. I am using bordered Floer theory of Hanselman-Rasmussen-Watson to answer these questions. Moreover, I am thinking about establishing relations between the said Floer theory and gauge theories like Seiberg-Witten theory or instanton Floer theory.
Organisations
People |
ORCID iD |
Jacob Rasmussen (Primary Supervisor) | |
Adam Baranowski (Student) |
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/N509620/1 | 30/09/2016 | 29/09/2022 | |||
1950953 | Studentship | EP/N509620/1 | 30/09/2017 | 29/09/2020 | Adam Baranowski |