3 problems

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Crew–Pechenik–Spirkl's geometric interpretation conjecture for Kromatic symmetric functions
Geometric interpretation conjecture. The authors of Crew, Pechenik, and Spirkl defined $\overline{X}_G$ in the hope that it would shed light on possible geometric interpretations o…
Conjectureopencombinatorial-k-theory graph-colorings symmetric-functionsarXiv posted 2 days ago
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The kaon–glide positivity conjecture
A weak composition is a finite sequence of nonnegative integers. For weak compositions $a$ and $b$ , let $\overline{\mathfrak{P}}_a$ denote the kaon associated with $a$ , and let…
Conjectureopencombinatorial-k-theory polynomial-positivity quasisymmetric-functionsarXiv posted 2 days ago
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The $K$ -theoretic coefficient-sum conjecture for glides and kaons
A weak composition is a finite sequence of nonnegative integers. For weak compositions $a$ and $b$ , let $M^a_b(\beta)$ be the coefficient of the glide polynomial…
Conjectureopencombinatorial-k-theory polynomials quasisymmetric-functionsarXiv posted 2 days ago

Crew–Pechenik–Spirkl's geometric interpretation conjecture for Kromatic symmetric functions