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Sewn sphere cohomologies for vertex algebras

Alexander Zuevsky

Archivum Mathematicum (2019)

  • Volume: 055, Issue: 5, page 341-349
  • ISSN: 0044-8753

Abstract

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We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.

How to cite

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Zuevsky, Alexander. "Sewn sphere cohomologies for vertex algebras." Archivum Mathematicum 055.5 (2019): 341-349. <http://eudml.org/doc/294878>.

@article{Zuevsky2019,
abstract = {We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.},
author = {Zuevsky, Alexander},
journal = {Archivum Mathematicum},
keywords = {Vertex algebras; cohomology},
language = {eng},
number = {5},
pages = {341-349},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Sewn sphere cohomologies for vertex algebras},
url = {http://eudml.org/doc/294878},
volume = {055},
year = {2019},
}

TY - JOUR
AU - Zuevsky, Alexander
TI - Sewn sphere cohomologies for vertex algebras
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 5
SP - 341
EP - 349
AB - We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.
LA - eng
KW - Vertex algebras; cohomology
UR - http://eudml.org/doc/294878
ER -

References

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  1. Frenkel, I.B., Huang, Y.-Z., Lepowsky, J., On axiomatic approaches to vertex operator algebras and modules, Mem. Amer. Math. Soc. 494 (1993), viii+64 pp. (1993) Zbl0789.17022MR1142494
  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. (1988) Zbl0674.17001MR0996026
  3. Fuks, D.B., Cohomology of infinite-dimensional Lie algebras, Contemporary Soviet Mathematic, Consultunt Bureau, New York, 1986. (1986) Zbl0667.17005MR0874337
  4. Galaev, A.S., Comparison of approaches to characteristic classes of foliations, arXiv:1709.05888. 
  5. Huang, Y.-Zh., 10.1007/s00220-014-1940-1, Comm. Math. Phys. 327 (1) (2014), 279–307. (2014) MR3177939DOI10.1007/s00220-014-1940-1
  6. Kac, V., Vertex Operator Algebras for Beginners, University Lecture Series, vol. 10, AMS, Providence, 1998. (1998) MR1651389
  7. Yamada, A., 10.2996/kmj/1138036124, Kodai Math. J. 3 (1980), 114–143. (1980) MR0569537DOI10.2996/kmj/1138036124
  8. Zhu, Y., 10.1090/S0894-0347-96-00182-8, J. Amer. Math. Soc. 9 (1996), 237–302. (1996) Zbl0854.17034MR1317233DOI10.1090/S0894-0347-96-00182-8

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