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Poincaré polynomials of the degenerate flag varieties of type C

arxiv.org. math. Cornell University, 2018. No. 1804.10804.
We give several combinatorial models for the Poincaré polynomials of the symplectic degenerate flag varieties. The models are based on the dimension counting of the explicitly described cells, extended and symplectic Dellac configurations, and on generalized Motzkin paths.