5 papers
Gauge theory for string algebroids
Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler
We introduce a moment map picture for holomorphic string algebroids where the Hamiltonian gauge action is described by means of inner automorphisms of Courant algebroids. The zero…
Stable toric sheaves. I : Chern classes
Carl Tipler
We study rank 2 torus-equivariant torsion-free sheaves on the complex projective space. For reflexive sheaves we derive a simple formula for the Chern polynomial, and in the genera…
Foldable fans, cscK surfaces and local K-moduli
Carl Tipler
We study the moduli space of constant scalar curvature Kähler surfaces around the toric ones. To this aim, we introduce the class of foldable surfaces : smooth toric surfaces whos…
Analytic K-semistability and local wall-crossing
Lars Martin Sektnan, Carl Tipler
For a small polarised deformation of a constant scalar curvature Kähler manifold, under some cohomological vanishing conditions, we prove that K-polystability along nearby polaris…
Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups
Rémi Delloque, Achim Napame, Carlo Scarpa +1
We introduce the notion of P-critical connections for hermitian holomorphic vector bundles over compact balanced manifolds: integrable hermitian connections whose curvature solves…