Yaping Yang

The Cohomological Hall Algebras of a Preprojective Algebra with Symmetrizer

Yaping Yang, Gufang Zhao

Journal article  |  2022  |  ALGEBRAS AND REPRESENTATION THEORY

This paper aims at a geometric realization of the Yangian of non-simply laced type in terms of quiver with potentials. For every q..

Loop Grassmannians of Quivers and Affine Quantum Groups

I Mirković, Y Yang, G Zhao

Book Chapter  |  2022  |  Trends in Mathematics

We construct for each choice of a quiver Q, a cohomology theory A, and a poset P a “loop Grassmannian” GP(Q, A). This generalizes ..

Algebraic elliptic cohomology and flops II: SL-cobordism

Marc Levine, Yaping Yang, Gufang Zhao

Journal article  |  2021  |  ADVANCES IN MATHEMATICS

In this paper, we study the algebraic Thom spectrum MSL in Voevodsky's motivic stable homotopy category over an arbitrary perfect ..

On two cohomological Hall algebras

Yaping Yang, Gufang Zhao

Journal article  |  2020  |  PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

We compare two cohomological Hall algebras (CoHA). The first one is the preprojective CoHA introduced in [19] associated with each..

Cohomological Hall Algebras, Vertex Algebras and Instantons

Miroslav Rapcak, Yan Soibelman, Yaping Yang, Gufang Zhao

Journal article  |  2020  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli spac..

THE PBW THEOREM FOR AFFINE YANGIANS

Yaping Yang, Gufang Zhao

Journal article  |  2020  |  TRANSFORMATION GROUPS

We prove that the Yangian associated to an untwisted symmetric affine Kac–Moody Lie algebra is isomorphic to the Drinfeld double o..

Positive Level, Negative Level and Level Zero

F McGlade, A Ram, Y Yang

Book Chapter  |  2020  |  Springer Proceedings in Mathematics and Statistics

This is a survey on the combinatorics and geometry of integrable representations of quantum affine algebras with a particular focu..

Algebraic elliptic cohomology theory and flops I

Marc Levine, Yaping Yang, Gufang Zhao, Joel Riou

Journal article  |  2019  |  MATHEMATISCHE ANNALEN

We define the algebraic elliptic cohomology theory coming from Krichever’s elliptic genus as an oriented cohomology theory on smoo..

How to Sheafify an Elliptic Quantum Group

Yaping Yang, Gufang Zhao

Conference Proceedings  |  2019

The cohomological Hall algebra of a preprojective algebra

Yaping Yang, Gufang Zhao

Journal article  |  2018  |  PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

We introduce for each quiver Q and each algebraic oriented cohomology theory A, the cohomological Hall algebra (CoHA) of Q, as the..