37 citations · 313 across the 41 of their papers we have counts for
4 papers · 1 filter
Decompositions of Grothendieck Polynomials
Oliver Pechenik, Dominic Searles
We investigate the longstanding problem of finding a combinatorial rule for the Schubert structure constants in the -theory of flag varieties (in type ). The Grothendieck pol…
Rhombic tilings and Bott-Samelson varieties
Laura Escobar, Oliver Pechenik, Bridget Eileen Tenner +1
S.~Elnitsky (1997) gave an elegant bijection between rhombic tilings of -gons and commutation classes of reduced words in the symmetric group on letters. P.~Magyar (1998) f…
Genomic Tableaux
Oliver Pechenik, Alexander Yong
We explain how genomic tableaux [Pechenik-Yong '15] are a semistandard complement to increasing tableaux [Thomas-Yong '09]. From this perspective, one inherits genomic versions of…
Doppelgängers: Bijections of Plane Partitions
Zachary Hamaker, Rebecca Patrias, Oliver Pechenik +1
We say two posets are "doppelgängers" if they have the same number of -partitions of each height . We give a uniform framework for bijective proofs that posets are doppelgäng…