Bringmann, Kathrin, Kaszian, Jonas, Milas, Antun and Nazaroglu, Caner . Higher depth false modular forms. Commun. Contemp. Math.. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6683
Full text not available from this repository.Abstract
False theta functions are functions that are closely related to classical theta functions and mock theta functions. In this paper, we study their modular properties at all ranks by forming modular completions analogous to modular completions of indefinite theta functions of any signature and thereby develop a structure parallel to the recently developed theory of higher depth mock modular forms. We then demonstrate this theoretical base on a number of examples up to depth three coming from characters of modules for the vertex algebra W-0(p)(An), 1 <= n <= 3, and from (Z) over cap -invariants of three-manifolds associated with gauge group SU(3).
Item Type: | Journal Article | ||||||||||||||||||||
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URN: | urn:nbn:de:hbz:38-675139 | ||||||||||||||||||||
DOI: | 10.1142/S0219199722500432 | ||||||||||||||||||||
Journal or Publication Title: | Commun. Contemp. Math. | ||||||||||||||||||||
Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||||||||||||||||||
Place of Publication: | SINGAPORE | ||||||||||||||||||||
ISSN: | 1793-6683 | ||||||||||||||||||||
Language: | English | ||||||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||||||
Subjects: | no entry | ||||||||||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/67513 |
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