On the modularity of the unified WRT invariants of certain Seifert manifolds

Kathrin Bringmann, Kazuhiro Hikami, Jeremy Lovejoy

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We compute the unified WRT invariants of the Seifert manifolds M(2,3,8) and M(2,3,4) (arising from ±2 surgery on the trefoil knot). The first is essentially a mock theta function which is a piece of one of Ramanujan's third order mock theta functions. The second is essentially the sum of a modular form and a false theta function.

Original languageEnglish
Pages (from-to)86-93
Number of pages8
JournalAdvances in Applied Mathematics
Volume46
Issue number1-4
DOIs
Publication statusPublished - Jan 1 2011
Externally publishedYes

Fingerprint

Seifert Manifold
Mock theta Functions
Modularity
Trefoil
Invariant
Theta Functions
Modular Forms
Ramanujan
Surgery
Knot

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

On the modularity of the unified WRT invariants of certain Seifert manifolds. / Bringmann, Kathrin; Hikami, Kazuhiro; Lovejoy, Jeremy.

In: Advances in Applied Mathematics, Vol. 46, No. 1-4, 01.01.2011, p. 86-93.

Research output: Contribution to journalArticle

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