Frank Neumann

collaborators

4 papers

math.AG2026

Cohomology of the Moduli Stacks of Real Vector Bundles on Type I Real Algebraic Curves

Luca Dal Molin, Frank Neumann

We study the moduli stacks of real vector bundles of fixed rank and degree on a type I real algebraic curve and determine its mod $2$ cohomology algebra in terms of characteristic…

math.AG2024

On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves

Abel Castorena, Frank Neumann

We study the various arithmetic and geometric Frobenius morphisms on the moduli stack of principal bundles over a smooth projective algebraic curve and determine explicitly their a…

math.AG2024

Cohomology of Moduli Stacks of Principal $C^{*}$ -Bundles Over Nodal Algebraic Curves

Abel Castorena, Frank Neumann

We study moduli stacks of principal $C^{*}$ -bundles over nodal complex algebraic curves and determine their rational cohomology algebras in terms of Chern classes.

math.AG2024

Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$ -bundles

Pedro L. del Angel R., Frank Neumann

For a semisimple complex algebraic group $G$ we determine the rational cohomology and the Hodge-Tate structure of the moduli stack $B u n_{G, X}$ of principal $G$ -bundles o…

Cohomology of the Moduli Stacks of Real Vector Bundles on Type I Real Algebraic Curves

On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves

Cohomology of Moduli Stacks of Principal C∗-Bundles Over Nodal Algebraic Curves

Rational Homotopy and Hodge Theory of Moduli Stacks of principal G-bundles

Cohomology of Moduli Stacks of Principal $C^{*}$ -Bundles Over Nodal Algebraic Curves

Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$ -bundles