Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

P. Di Francesco; P. Zinn-Justin

Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

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arxiv math-ph/0412031 v4 pith:XZIQJDS5 submitted 2004-12-10 math-ph math.AGmath.COmath.MPnlin.SI

P. Di Francesco , P. Zinn-Justin This is my paper · ORCID

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We consider a quantum integrable inhomogeneous model based on the Brauer algebra B(1) and discuss the properties of its ground state eigenvector. In particular we derive various sum rules, and show how some of its entries are related to multidegrees of algebraic varieties.

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Hybrid pipe dreams for the lower-upper scheme
math.CO 2025-09 conditional novelty 7.0 of 10

Hybrid generic pipe dreams give a hybridization-independent equivariant formula for the classes of lower-upper varieties, proved via Yang-Baxter equations and a degeneration into complete intersections.

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