Hyperk¨ahler structures and infinite-dimensional Grassmannians

In this work, we construct the Anderson Hamiltonian on a two-dimensional manifold using the high order paracontrolled calculus.. We adapt the space-time construction [5, 6] of

The key difference is that while those bounds are typically used to bound the deviation between empirical and expected means under the assumption that the data are drawn from the

Joyce has build many new K¨ahler, Ricci flat metrics on some crepant resolution of quotient of C m by a finite subgroup of SU (m) ; his construction relies upon the resolution of

Moment Map of the Universal Extension Bundle Automorphisms In this section we will show how the sympletic manifold (X, ω ) identifies, through the Moment map of the Hamiltonian

Formal B-series like those previously used to ana- lyze highly-oscillatory systems or to construct modified equations are employed here to construct expansions of the change

We associate with the reduced Einstein equations the linear system obtained by replacing in all terms except the second derivatives, g by a given tensor. field

In this paper we study the inverse problem of determining a n-dimensional, C ∞ -smooth, connected, compact, Riemannian manifold with boundary (M, g) from the set of Cauchy data

Kobayashi, S., Ochiai, T.: Three-dimensional compact K~ihler manifolds with positive holo- morphic bisectional curvature... Kobayashi, S., Ochiai, T.: Characterizations