Abstract
Abstract
We calculate the homological blocks for Seifert manifolds from the exact ex- pression for the G = SU(N ) Witten-Reshetikhin-Turaev invariants of Seifert manifolds obtained by Lawrence, Rozansky, and Mariño. For the G = SU(2) case, it is possible to ex- press them in terms of the false theta functions and their derivatives. For G = SU(N ), we calculate them as a series expansion and also discuss some properties of the contributions from the abelian flat connections to the Witten-Reshetikhin-Turaev invariants for general N . We also provide an expected form of the S-matrix for general cases and the structure of the Witten-Reshetikhin-Turaev invariants in terms of the homological blocks.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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