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From the 1 of 9 linked papers with an AI index.

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20242026
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9 papers

hep-th2026

Hodge numbers for orbifolds of Calabi-Yau threefolds Fermat type and the Roan pairs

S. Aleshin, Sergey Aleshin, A. Belavin +3

The paper defines Roan's Hodge numbers for orbifolds of Ferm(a)‑type Calabi‑Yau threefolds, proves they reproduce the stringy Euler numbers via the Vafa formula, and relates the Bo…

math.CO2026

Bruhat operads II. Multiplicative structures

Gleb Koshevoy, Vadim Schechtman

The Bruhat operads from \cite{KS} are equipped with a structure of operads with multiplication.

math.CO2026

Bruhat operads

Gleb Koshevoy, Vadim Schechtman, with Appendix by Daria Poliakova

We describe some planar operads built from the higher Bruhat orders and show that they admit a multiplication.

math.RT2026

Stability of Type A Mirković-Vilonen Polytopes under Minkowski Sum via Weak Separation

Gleb A. Koshevoy, Fang Li, Lujun Zhang

Mirković--Vilonen (MV) polytopes play a key role in the representation theory of reductive algebraic groups, while the geometric behavior of prime MV polytopes under Minkowski add…

math.RA2026

Quaternities, correspondences, and tetrahedron equations (Summa tetralogiae)

Gleb Koshevoy, Vadim Schechtman, Alexander Varchenko

The aim of this note is: (a) to propose a generalization of tetrahedron equations from \cite{S} and of their solutions. Due to appearance of a larger number of parameters the -m…

math.RT2025

Finest positroid subdivisions from maximal weakly separated collections

Gleb A. Koshevoy, Fang Li, Lujun Zhang

We adopt a formal and algebraic approach of Early \cite{E2} to study the positive tropical Grassmannian . Specifically, we deal with positroid subdi…