REVIEW 1 cited by
Symplectic quasi-states on the quadric surface and Lagrangian submanifolds
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
The quantum homology of the monotone complex quadric surface splits into the sum of two fields. We outline a proof of the following statement: The unities of these fields give rise to distinct symplectic quasi-states defined by asymptotic spectral invariants. In fact, these quasi-states turn out to be "supported" on disjoint Lagrangian submanifolds. Our method involves a spectral sequence which starts at homology of the loop space of the 2-sphere and whose higher differentials are computed via symplectic field theory, in particular with the help of the Bourgeois-Oancea exact sequence.
Forward citations
Cited by 1 Pith paper
-
Relative symplectic cohomology in complex projective spaces
Explicit computation of relative symplectic cohomology over the Novikov ring for balls in CP^n via J-shaped Hamiltonians and Morse-Bott cascades with cascades, producing new stable displacement energy estimates.
Discussion (0). Continue with ORCID to comment.