181 citations · 551 across the 67 of their papers we have counts for
5 papers · 1 filter
Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces
Peng Chen, Adam Sikora, Lixin Yan
We describe a simple but surprisingly effective technique of obtaining spectral multiplier results for abstract operators which satisfy the finite propagation speed property for th…
Gaussian heat kernel estimates: from functions to forms
Thierry Coulhon, Baptiste Devyver, Adam Sikora
On a complete non-compact Riemannian manifold satisfying the volume doubling property, we give conditions on the negative part of the Ricci curvature that ensure that, unless there…
Verification Of The Jones Unknot Conjecture Up To 22 Crossings
Robert E. Tuzun, Adam S. Sikora
We proved by computer enumeration that the Jones polynomial distinguishes the unknot for knots up to 22 crossings. Following an approach of Yamada, we generated knot diagrams by in…
Varieties of Characters
Sean Lawton, Adam S. Sikora
Let G be a connected reductive affine algebraic group. In this short note we define the "variety of G-characters" of a finitely generated group F and show that the quotient of the…
Skein algebras of surfaces
Jozef H. Przytycki, Adam S. Sikora
We show that the Kauffman bracket skein algebra of any oriented surface F (possibly with marked points in its boundary) has no zero divisors and that its center is generated by kno…