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Codes, vertex operators and topological modular forms.

Authors :
Ganter, Nora
Laures, Gerd
Source :
Bulletin of the London Mathematical Society; Aug2022, Vol. 54 Issue 4, p1167-1196, 30p
Publication Year :
2022

Abstract

We describe a new link between the theory of topological modular forms and representations of vertex operator algebras obtained by certain lattices. The construction is motivated by the arithmetic Whitehead tower of the orthogonal groups. The tower discloses the role of codes in representation theory. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MODULAR forms
VERTEX operator algebras
TOPOLOGICAL algebras
REPRESENTATION theory
CODING theory
ARITHMETIC

Details

Language :
English
ISSN :
00246093
Volume :
54
Issue :
4
Database :
Complementary Index
Journal :
Bulletin of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
158448627
Full Text :
https://doi.org/10.1112/blms.12624
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