3 citations · 3 across the 5 of their papers we have counts for
5 papers
Weighted --Schur functions and their application to the --Schur alternating conjecture
Yaozhou Fan, Xing Gao
We introduce the new concept of weighted --Schur functions -- a novel family within the broader class of Katalan functions -- that unifies and extends both --Schur func…
Lowering operators on --Schur functions and a lowering operator formula for closed --Schur functions
Yaozhou Fang, Xing Gao, Li Guo
This paper gives a systematic study of the lowering operators acting on the --Schur functions, motivated by the pivotal role played by the operators in the definition and stu…
Alternating dual Pieri rule conjecture and -branching conjecture of closed -Schur Katalan functions
Yaozhou Fang, Xing Gao
For closed -Schur Katalan functions $\fgλ{k}$ with a positive integer and a -bounded partition, Blasiak, Morse and Seelinger proposed the alternating dual Pieri rule…
Shapes of hyperbolic triangles and once-punctured torus groups
Sang-hyun Kim, Thomas Koberda, Jaejeong Lee +3
Let be a hyperbolic triangle with a fixed area . We prove that for all but countably many , generic choices of have the property that the group generated by the --…
L-space knots with tunnel number >1 by experiment
Chris Anderson, Kenneth L. Baker, Xinghua Gao +8
In Dunfield's catalog of the hyperbolic manifolds in the SnapPy census which are complements of L-space knots in , we determine that have tunnel number while the rema…