| Title:
|
Sewn sphere cohomologies for vertex algebras (English) |
| Author:
|
Zuevsky, Alexander |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
5 |
| Year:
|
2019 |
| Pages:
|
341-349 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators. (English) |
| Keyword:
|
Vertex algebras |
| Keyword:
|
cohomology |
| MSC:
|
17B69 |
| MSC:
|
53C12 |
| MSC:
|
57R20 |
| idZBL:
|
Zbl 07144748 |
| idMR:
|
MR4057930 |
| DOI:
|
10.5817/AM2019-5-341 |
| . |
| Date available:
|
2019-12-09T12:26:15Z |
| Last updated:
|
2020-11-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147946 |
| . |
| Reference:
|
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| Reference:
|
[2] Frenkel, I.B., Lepowsky, J., Meurman, A.: Vertex operator algebras and the Monster.Pure and Appl. Math., vol. 134, Academic Press, New York, 1988. Zbl 0674.17001, MR 0996026 |
| Reference:
|
[3] Fuks, D.B.: Cohomology of infinite-dimensional Lie algebras.Contemporary Soviet Mathematic, Consultunt Bureau, New York, 1986. Zbl 0667.17005, MR 0874337 |
| Reference:
|
[4] Galaev, A.S.: Comparison of approaches to characteristic classes of foliations.arXiv:1709.05888. |
| Reference:
|
[5] Huang, Y.-Zh.: A cohomology theory of grading-restricted vertex algebras.Comm. Math. Phys. 327 (1) (2014), 279–307. MR 3177939, 10.1007/s00220-014-1940-1 |
| Reference:
|
[6] Kac, V.: Vertex Operator Algebras for Beginners.University Lecture Series, vol. 10, AMS, Providence, 1998. MR 1651389 |
| Reference:
|
[7] Yamada, A.: Precise variational formulas for abelian differentials.Kodai Math. J. 3 (1980), 114–143. MR 0569537, 10.2996/kmj/1138036124 |
| Reference:
|
[8] Zhu, Y.: Modular invariance of characters of vertex operator algebras.J. Amer. Math. Soc. 9 (1996), 237–302. Zbl 0854.17034, MR 1317233, 10.1090/S0894-0347-96-00182-8 |
| . |
