A proof of the q,t-Schröder conjecture

By James Haglund. 2004

77 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Ecology, Evolution, Behavior and Systematics

View Paper: https://www.semanticscholar.org/paper/8a4c9b96b8bcd76281a8fae4fcdbb5d2bfeef9cb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jacob Rasmussen
2. Vivek V. Shende
3. Andrei Neguct
4. Alexei Oblomkov
5. E. Gorsky
6. Tom H. Koornwinder

In Discrete Mathematics and Combinatorics

1. Alexei Oblomkov
2. Vivek V. Shende
3. Andrei Neguct
4. E. Gorsky
5. Jacob Rasmussen
6. M. Hedden
7. Peter S. Ozsv'ath
8. Zolt'an Szab'o

In Ecology, Evolution, Behavior and Systematics

1. Andrei Neguct
2. Jacob Rasmussen
3. Vivek V. Shende
4. Alexei Oblomkov
5. E. Gorsky

Citations in the corpus

• Torus knots and the rational DAHA (2012, result): “x A.3 of [ORS12] that for m= n+ 1 the formula (24) agrees with the combinatorial statistics describing the q,t–multiplicities of hooks in the diagonal harmonics, conjectured in [EHKK03] and proved in [Hag04]. The authors wrote a computer program calculating the right hand side of (24), its output is”
• q,t-Catalan numbers and knot homology (2010, background): “The combinatorial formula for these numbers looks as ([11],[13])”
• Refined knot invariants and Hilbert schemes (2013, background): “x. The coefficients of the full u−expansion of the refined invariant are given by the generalized Schro¨der numbers. The combinatorial statistics for these numbers was conjectured in [15] and proved in [33], and the rational extension of these statistics was conjectured in [47]. We give a conjectural ”