ar X iv : 0 90 1 . 32 11 v 1 [ m at h . A G ] 2 1 Ja n 20 09 COMPACT KÄHLER MANIFOLDS WITH ELLIPTIC HOMOTOPY TYPE
نویسنده
چکیده
Simply connected compact Kähler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. This is applied to classify the simply connected Kähler surfaces and Fano threefolds with elliptic homotopy type.
منابع مشابه
ar X iv : m at h / 02 01 11 6 v 1 [ m at h . A T ] 1 4 Ja n 20 02 GERBES AND HOMOTOPY QUANTUM FIELD THEORIES
For manifolds with freely generated first homology, we characterize gerbes with connection as functors on a certain surface cobordism category. This allows us to relate gerbes with connection to Turaev's 1+1-dimensional homotopy quantum field theories, and we show that flat gerbes on such spaces as above are the same as a specific class of rank one homotopy quantum field theories.
متن کاملar X iv : m at h / 06 11 81 9 v 2 [ m at h . D G ] 1 2 Ja n 20 07 EQUIVARIANT AND FRACTIONAL INDEX OF PROJECTIVE ELLIPTIC OPERATORS
In this note the fractional analytic index, for a projective elliptic operator associated to an Azumaya bundle, of [4] is related to the equivariant index of [1, 5] for an associated transversally elliptic operator.
متن کاملar X iv : 0 80 1 . 08 75 v 2 [ m at h . D S ] 2 6 Ja n 20 08 GROUPS NOT ACTING ON MANIFOLDS
In this article we collect a series of observations that constrain actions of many groups on compact manifolds. In particular, we show that “generic” finitely generated groups have no smooth volume preserving actions on compact manifolds while also producing many finitely presented, torsion free groups with the same property.
متن کاملar X iv : 0 90 1 . 18 06 v 1 [ m at h . A G ] 1 3 Ja n 20 09 GREENBERG APPROXIMATION AND THE GEOMETRY OF ARC SPACES
We study the differential properties of generalized arc schemes and geometric versions of Kolchin’s Irreducibility Theorem over arbitrary base fields. As an intermediate step, we prove an approximation result for arcs by algebraic curves.
متن کاملar X iv : 0 90 2 . 28 05 v 1 [ m at h . D G ] 1 7 Fe b 20 09 Computing the density of Ricci - solitons on CP 2 ♯ 2 CP 2
This is a short note explaining how one can compute the Gaussian density of the Kähler-Ricci soliton and the conformally Kähler, Einstein metric on the two point blow-up of the complex projective plane.
متن کامل