The book starts with a thorough introduction to connections and holonomy groups, and to
Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used …

This is an introduction to a very active field of research, on the boundary between
mathematics and physics. It is aimed at graduate students and researchers in geometry and …

This is the second of two papers about metrics of holonomy G2 on compact 7-manifolds. In
our first paper [15] we established the existence of a family of metrics of holonomy G2 on a …

Each choice of a Kähler class on a compact complex manifold defines an action of the Lie
algebra sl (2) on its total complex cohomology. If a nonempty set of such Kähler classes is …

Let S be a K3 surface and Aut D (S) the group of auto-equivalences of the derived category
of S. We construct a natural representation of Aut D (S) on the cohomology of all moduli …

arXiv:1004.0046v1 [math.AG] 1 Apr 2010 Page 1 arXiv:1004.0046v1 [math.AG] 1 Apr 2010
HODGE THEORY AND LAGRANGIAN PLANES ON GENERALIZED KUMMER FOURFOLDS …

The study of higher dimensional hyperkähler manifolds has attracted much attention: we
have [Wk],[Bg1, 2, 3, 4],[Fj1, 2],[Bv1],[Vb1, 2],[Sl1, 2],[HS],[Huy],[Gu3, 4, 5] etc. It is evident that …

In the paper we study two types of relations: a one is between the elliptic genus of Calabi-
Yau manifolds and Jacobi modular forms, another one is between the second quantized …

The Hodge numbers of O'Grady 10 via Ngô strings - ScienceDirect Skip to main contentSkip to
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The Hodge diamond of O’Grady’s six-dimensional example Page 1 The Hodge diamond of
O’Grady’s six-dimensional example Giovanni Mongardi, Antonio Rapagnetta and Giulia …