activity
20172026
most citedQuaternionic Projective Bundle Theorem and Gysin Triangle in MW-Motivic Cohomology

4 citations · 7 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2026

The equivariant Milnor-Witt motive of

Nanjun Yang

We provide a decomposition of the equivariant Milnor-Witt motive for the moduli space of stable curves . As a result, the equivariant Chow-Witt ring $…

math.GR2025

A generalization of the Arad--Ward theorem on Hall subgroups

N. Yang, A. A. Buturlakin

For a set of primes , denote by the class of finite groups containing a Hall -subgroup. We establish that is contained in . As a c…

math.AG2024

Witt Group of Nondyadic Curves

Nanjun Yang

Witt group of real algebraic curves has been studied since Knebusch in 1970s. But few results are known if the base field is non-Archimedean except the hyperelliptic case by works…

math.AG2023

On Tate Milnor-Witt Motives

Jean Fasel, Nanjun Yang

Smooth projective -varieties with isolated rational fixed points admit Tate Milnor-Witt motives. Over Euclidean fields, we give a splitting formula of such motives, w…

math.AG2020

Split Milnor-Witt Motives and its Applications to Fiber Bundles

Nanjun Yang

We study the Milnor-Witt motives which are a finite direct sum of and . We show that for MW-motives of this type, we could determine an MW-mo…

math.AG2020★ 2 cited

Projective Bundle Theorem in MW-Motivic Cohomology

Nanjun Yang

We present a version of projective bundle theorem in MW-motives (resp. Chow-Witt rings), which says that is determined by , $…

math.AG2018★ 1 cited

General Motivic Cohomology and Symplectic Orientation

Nanjun Yang

In this paper, we present a general approach to establish motivic cohomology and build part of its six operations formalism. Applying this together with symplectic orientation on M…

math.AG2017★ 4 cited

Quaternionic Projective Bundle Theorem and Gysin Triangle in MW-Motivic Cohomology

Nanjun Yang

In this paper, we show that the motive of the quaternionic Grassmannian (as defined by I. Panin and C. Walter) splits in the category of effective MW-motives (as defined by…