Flagged Grothendieck enumerators and ribbon decomposition determinants
Year: 2026
Type: preprint
Abstract: We establish Hamel--Goulden-type ribbon decomposition determinantal formulas for a new class of symmetric functions called flagged Grothendieck enumerators. In particular, these functions generalize both canonical refined stable Grothendieck polynomials and their duals. The proof uses Talaska's formula via flows on planar lattice graphs with systems of paths and cycles.
Source: arXiv (Cornell University)
Authors: Adilzhan, Alibek, Yeliussizov, Damir
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225833968
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