### 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 language | English |
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Pages (from-to) | 86-93 |

Number of pages | 8 |

Journal | Advances in Applied Mathematics |

Volume | 46 |

Issue number | 1-4 |

DOIs | |

Publication status | Published - Jan 1 2011 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cite this

*Advances in Applied Mathematics*,

*46*(1-4), 86-93. https://doi.org/10.1016/j.aam.2009.12.004

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

Research output: Contribution to journal › Article

*Advances in Applied Mathematics*, vol. 46, no. 1-4, pp. 86-93. https://doi.org/10.1016/j.aam.2009.12.004

}

TY - JOUR

T1 - On the modularity of the unified WRT invariants of certain Seifert manifolds

AU - Bringmann, Kathrin

AU - Hikami, Kazuhiro

AU - Lovejoy, Jeremy

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79953703405&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953703405&partnerID=8YFLogxK

U2 - 10.1016/j.aam.2009.12.004

DO - 10.1016/j.aam.2009.12.004

M3 - Article

AN - SCOPUS:79953703405

VL - 46

SP - 86

EP - 93

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

SN - 0196-8858

IS - 1-4

ER -