A. Mellit

activity

20042026

(m, n)

-parking functions

53 citations · 186 across the 27 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CO2020

A combinatorial formula for the nabla operator

Erik Carlsson, Anton Mellit

We present an LLT-type formula for a general power of the nabla operator applied to the Cauchy product for the modified Macdonald polynomials, and use it to deduce a new proof of t…

math.GT2020

Angle structures on $3$ -manifolds

Anton Mellit

Given a compact oriented triangulated $3$ -manifold we find a non-trivial condition satisfied by certain labelings of the tetrahedra by elements of an arbitrary abelian group which…

math.CO2020

A proof of the compositional Delta conjecture

Michele D'Adderio, Anton Mellit

We prove a compositional refinement of the Delta conjecture (rise version) of Haglund, Remmel and Wilson (2018) for $Δ_{e_{n - k - 1}}^{'} e_{n}$ which was stated by D'Adderio, Iraci and Van…

A combinatorial formula for the nabla operator

Angle structures on 3-manifolds

A proof of the compositional Delta conjecture

Angle structures on $3$ -manifolds