Regularized +1+1-surgery formula

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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.

References

Primary source

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

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