Regularized -surgery formula
Regularized -surgery formula
Let be a knot and consider the -surgery formula of Gukov and Manolescu for the invariant . Regularized -surgery conjecture. When the -surgery formula converges, it should be used without a regularization factor. When it does not converge, one may use the paper's regularization formula, provided that the regularized expression converges. This conjectural prescription distinguishes the convergent and divergent cases; the paper does not prove that the proposed regularization always converges or gives the required invariant.
Sources & referencesView supporting material
Primary source
Sunghyuk Park, “Inverted state sums, inverted Habiro series, and indefinite theta functions”, arXiv:2106.03942 (2021).
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