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A deformation of instanton homology for webs

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arxiv 1710.05002 v2 pith:3VRWRR76 submitted 2017-10-13 math.GT math.CO

classification math.GTmath.CO
keywords homologyinstantondeformationwebsauthorscasecoefficientscolorings
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A deformation of the authors' instanton homology for webs is constructed by introducing a local system of coefficients. In the case that the web is planar, the rank of the deformed instanton homology is equal to the number of Tait colorings of the web.

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Cited by 2 Pith papers

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  1. Computer Bounds for Kronheimer-Mrowka Foam Evaluation

    math.GT 2019-08 conditional novelty 6.0 of 10

    For two nonreducible planar graphs the computed dimension of a Khovanov-Robert foam invariant exactly matches the Tait number; for the dodecahedral graph the computation leaves dimensions 58 or 60, with evidence point...

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    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Strip entanglement anisotropy S⊥−S∥ classifies dark portals in HSV p-wave superfluids into rigid rescalings versus width-running kinetic deformations with short-width W² decoupling.

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