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

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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
Creators:
CreatorsEmailORCIDORCID Put Code
Bringmann, KathrinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kaszian, JonasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Milas, AntunUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Nazaroglu, CanerUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
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
Uncontrolled Keywords:
KeywordsLanguage
INDEFINITE THETA-SERIES; W-ALGEBRASMultiple languages
Mathematics, Applied; MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/67513

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