Floer cohomology of Platonic Lagrangians
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Smith, JE
Abstract
We analyse holomorphic discs on Lagrangian SU(2)-orbits in a family of quasihomogeneous threefolds of SL(2;C), previously studied by Evans-Lekili, introducing several techniques that should be applicable to wider classes of homogeneous Lagrangians. By studying the closed-open map we place strong restrictions on the self-Floer cohomology of these Lagrangians, which we then compute using the Biran-Cornea pearl complex.
Description
Keywords
math.SG, math.SG, math.AG, 53D12, 53D40
Journal Title
Journal of Symplectic Geometry
Conference Name
Journal ISSN
1527-5256
1540-2347
1540-2347
Volume Title
17
Publisher
International Press
Publisher DOI
Rights
All rights reserved
Sponsorship
EPSRC (1513417)
EPSRC PhD studentship