On themodularity of certain functions from the Gromov–Witten theory of elliptic orbifolds

dc.contributor.author	Bringmann, Kathrin	en_US
dc.contributor.author	Rolen, Larry	en_US
dc.contributor.author	Zwegers, Sander	en_US
dc.date.accessioned	2016-10-11T05:37:53Z
dc.date.available	2016-10-11T05:37:53Z
dc.date.issued	2015	en_US
dc.identifier.other	HPU4160606	en_US
dc.identifier.uri	https://lib.hpu.edu.vn/handle/123456789/23689
dc.description.abstract	In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds. They derived a number of examples of indefinite theta functions, and we provide modular completions for several such functions which involve more complicated objects than ordinary modular forms. In particular, we give new closed formulae for special indefinite theta functions of type (1, 2) in terms of products of mock modular forms. This formula is also of independent interest.	en_US
dc.format.extent	12 p.	en_US
dc.format.mimetype	application/pdf
dc.language.iso	en	en_US
dc.subject	Mathematics	en_US
dc.subject	Number theory	en_US
dc.subject	Geometry	en_US
dc.subject	Mathematical physics	en_US
dc.subject	Modular forms	en_US
dc.subject	Mockmodular forms	en_US
dc.subject	Jacobi forms	en_US
dc.subject	Elliptic orbifolds	en_US
dc.subject	Gromov–Witten potentials	en_US
dc.title	On themodularity of certain functions from the Gromov–Witten theory of elliptic orbifolds	en_US
dc.type	Article	en_US
dc.size	374KB	en_US
dc.department	Education	en_US