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20032026
most citedAffine representability results in -homotopy theory I: vector bundles

39 citations · 181 across the 28 of their papers we have counts for

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15 papers · 1 filter

math.AG2026

Algebraic Knots and their Universal K^MW_2-Coverings

Matthias Wendt, Thor Wittich

Over suitable base fields of characteristic not , including algebraically closed ones, we construct universal abelian -co…

math.AG2023

Chow-Witt rings and topology of flag varieties

Thomas Hudson, Ákos K. Matszangosz, Matthias Wendt

The paper computes the Witt-sheaf cohomology rings of partial flag varieties in type A in terms of the Pontryagin classes of the subquotient bundles. The proof is based on a Leray-…

math.AG2021

-connected components of classifying spaces and purity for torsors

Elden Elmanto, Girish Kulkarni, Matthias Wendt

In this paper, we study the Nisnevich sheafification of the presheaf associating to a smooth scheme the set of isomorphism classes of -torsors, f…

math.AG2019★ 11 cited

The real cycle class map

Jens Hornbostel, Matthias Wendt, Heng Xie +1

The classical cycle class map for a smooth complex variety sends cycles in the Chow ring to cycles in the singular cohomology ring. We study two cycle class maps for smooth real va…

math.AG2018

On motivic obstructions to Witt cancellation for quadratic forms over schemes

Matthias Wendt

The paper provides computations of the first non-vanishing -homotopy sheaves of the orthogonal Stiefel varieties which are relevant for the unstable isometry classifi…

math.AG2018

Oriented Schubert calculus in Chow-Witt rings of Grassmannians

Matthias Wendt

We apply the previous calculations of Chow-Witt rings of Grassmannians to develop an oriented analogue of the classical Schubert calculus. As a result, we get complete diagrammatic…