| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Gauss-Manin connection in disguise: Calabi-Yau threefolds | Murad Alim
; Hossein Movasati
; Emanuel Scheidegger
; Shing-Tung Yau
; | Date: |
7 Oct 2014 | Abstract: | We describe a Lie Algebra on the moduli space of Calabi-Yau threefolds
enhanced with differential forms and its relation to the
Bershadsky-Cecotti-Ooguri-Vafa holomorphic anomaly equation. In particular, we
describe algebraic topological string partition functions $F_g^{alg}, ggeq 1$,
which encode the polynomial structure of holomorphic and non-holomorphic
topological string partition functions. Our approach is based on Grothendieck’s
algebraic de Rham cohomology and on the algebraic Gauss-Manin connection. In
this way, we recover a result of Yamaguchi-Yau and Alim-L"ange in an algebraic
context. Our proofs use the fact that the special polynomial generators defined
using the special geometry of deformation spaces of Calabi-Yau threefolds
correspond to coordinates on such a moduli space. We discuss the mirror quintic
as an example. | Source: | arXiv, 1410.1889 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |