11 citations · 40 across the 12 of their papers we have counts for
8 papers · 1 filter
Knuth moves for Schubert polynomials
Daoji Huang, Pavlo Pylyavskyy
In our previous work we have introduced an analogue of Robinson-Schensted-Knuth correspondence for Schubert calculus of the complete flag varieties. The objects inserted are certai…
A pipe dream perspective on totally symmetric self-complementary plane partitions
Daoji Huang, Jessica Striker
We characterize totally symmetric self-complementary plane partitions (TSSCPP) as bounded compatible sequences satisfying a Yamanouchi-like condition. As such, they are in bijectio…
A row analogue of Hecke column insertion
Daoji Huang, Mark Shimozono, Tianyi Yu
We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivi…
Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants
Daoji Huang, Pavlo Pylyavskyy
We introduce analogs of left and right RSK insertion for Schubert calculus of complete flag varieties. The objects being inserted are certain biwords, the insertion objects are bum…
The Canonical Bijection Between Pipe Dreams and Bumpless Pipe Dreams
Yibo Gao, Daoji Huang
We present a direct bijection between reduced pipe dreams and reduced bumpless pipe dreams by interpreting reduced compatible sequences on bumpless pipe dreams and show that this b…
Schubert Products for Permutations with Separated Descents
Daoji Huang
We say that two permutations and have separated descents at position if has no descents before position and has no descents after position . We give a co…
Bijective Proofs of Monk's rule for Schubert and Double Schubert Polynomials with Bumpless Pipe Dreams
Daoji Huang
We give bijective proofs of Monk's rule for Schubert and double Schubert polynomials computed with bumpless pipe dreams. In particular, they specialize to bijective proofs of trans…
Polyhedral Covers of Tree Space
Satyan L. Devadoss, Daoji Huang, Dominic Spadacene
The phylogenetic tree space, introduced by Billera, Holmes, and Vogtmann, is a cone over a simplicial complex. In this short article, we construct this complex from local gluings o…