Regularized +1+1-surgery formula

Let KK be a knot and consider the +1+1-surgery formula of Gukov and Manolescu for the invariant Z^\hat{Z}. Regularized +1+1-surgery conjecture. When the +1+1-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.

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Primary source

Sunghyuk Park, “Inverted state sums, inverted Habiro series, and indefinite theta functions”, arXiv:2106.03942 (2021).

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