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arXiv · 2301.00405

Combinatorial reciprocity for non-intersecting paths

Sam Hopkins·Gjergji Zaimi
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Abstract

We prove a combinatorial reciprocity theorem for the enumeration of non-intersecting paths in a linearly growing sequence of acyclic planar networks. We explain two applications of this theorem: reciprocity for fans of bounded Dyck paths, and reciprocity for Schur function evaluations with repeated values.

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Sam Hopkins, Gjergji Zaimi. 2023-02-11. Combinatorial reciprocity for non-intersecting paths. https://doi.org/10.54550/eca2023v3s2r13

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