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Flops, Gromov-Witten invariants and symmetries of line bundle cohomology on Calabi-Yau three-folds

Abstract:
The zeroth line bundle cohomology on Calabi-Yau three-folds encodes information about the existence of flop transitions and the genus zero Gromov-Witten invariants. We illustrate this claim by studying several Picard number 2 Calabi-Yau three-folds realised as complete intersections in products of projective spaces. Many of these manifolds exhibit certain symmetries on the Picard lattice which preserve the zeroth cohomology.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.geomphys.2021.104398

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0002-0861-5363
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author


Publisher:
Elsevier
Journal:
Journal of Geometry and Physics More from this journal
Volume:
171
Article number:
104398
Publication date:
2021-10-14
Acceptance date:
2021-10-09
DOI:
EISSN:
1879-1662
ISSN:
0393-0440


Language:
English
Keywords:
Pubs id:
1211845
Local pid:
pubs:1211845
Deposit date:
2022-08-01

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