On the modularity of the unified WRT invariants of certain Seifert manifolds - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Advances in Applied Mathematics Année : 2011

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

Résumé

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.

Dates et versions

hal-00589740 , version 1 (01-05-2011)

Identifiants

Citer

Jeremy Lovejoy, Kathrin Bringmann, Kazuhiro Hikami. On the modularity of the unified WRT invariants of certain Seifert manifolds. Advances in Applied Mathematics, 2011, 46, pp.86-93. ⟨10.1016/j.aam.2009.12.004⟩. ⟨hal-00589740⟩
27 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More