TY - JOUR
T1 - On the modularity of the unified WRT invariants of certain Seifert manifolds
AU - Bringmann, Kathrin
AU - Hikami, Kazuhiro
AU - Lovejoy, Jeremy
N1 - Funding Information:
✩ The first author was partially supported by the NSF grant DMS-0757907 and the Alfried Krupp Prize. The second author was partially supported by Grant-in-Aid for Scientific Research (21654053) from the Ministry of Education, Culture, Sports, Science and Technology of Japan. The third author was partially supported by the French Agence Nationale de Recherche ANR-08-JCJC-0011. * Corresponding author. E-mail addresses: kbringma@math.uni-koeln.de (K. Bringmann), khikami@gmail.com (K. Hikami), lovejoy@liafa.jussieu.fr (J. Lovejoy).
PY - 2011/1
Y1 - 2011/1
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.
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U2 - 10.1016/j.aam.2009.12.004
DO - 10.1016/j.aam.2009.12.004
M3 - Article
AN - SCOPUS:79953703405
SN - 0196-8858
VL - 46
SP - 86
EP - 93
JO - Advances in Applied Mathematics
JF - Advances in Applied Mathematics
IS - 1-4
ER -