Journal article icon

Journal article

Floer theory for negative line bundles via Gromov-Witten invariants

Abstract:

We prove that the GW theory of negative line bundles M = Tot(L→B) determines the symplectic cohomology: indeed SH *(M) is the quotient of QH *(M) by the kernel of a power of quantum cup product by c1(L). We prove this also for negative vector bundles and the top Chern class. We calculate SH * and QH * for O(-n)→CPm. For example: for O(-1), M is the blow-up of Cm+1 at the origin and SH *(M) has rank m. We prove Kodaira vanishing: for very negative L, SH * = 0; and Serre vanishing: if we twist ...

Expand abstract

Actions


Access Document


Publisher copy:
10.1016/j.aim.2014.06.009

Authors


Publisher:
Academic Press Inc.
Journal:
Advances in Mathematics
Volume:
262
Pages:
1035-1106
Publication date:
2014-09-10
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
URN:
uuid:ece26f01-ae15-45c6-81de-9317985d7cc7
Source identifiers:
369649
Local pid:
pubs:369649

Terms of use


Metrics


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP