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math.CO 2

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2026 2

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Categorification of some Penrose polynomials

math.CO · 2026-07-02 · unverdicted · novelty 5.0

Constructs doubly- and triply-graded Penrose-type homologies for ribbon graphs via TQFT cube of resolutions whose Euler characteristics recover Penrose polynomial specializations.

New relations for the Penrose polynomial

math.CO · 2026-06-04 · unverdicted · novelty 5.0

New relations for the Penrose polynomial at n=4 using a novel ribbon graph polynomial, plus extensions of n=3 relations to arbitrary n.

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  • Categorification of some Penrose polynomials math.CO · 2026-07-02 · unverdicted · none · ref 2

    Constructs doubly- and triply-graded Penrose-type homologies for ribbon graphs via TQFT cube of resolutions whose Euler characteristics recover Penrose polynomial specializations.

  • New relations for the Penrose polynomial math.CO · 2026-06-04 · unverdicted · none · ref 2

    New relations for the Penrose polynomial at n=4 using a novel ribbon graph polynomial, plus extensions of n=3 relations to arbitrary n.