205,506 research outputs found
The shift map on Floer trajectory spaces
In this article we give a uniform proof why the shift map on Floer homology
trajectory spaces is scale smooth. This proof works for various Floer
homologies, periodic, Lagrangian, Hyperk\"ahler, elliptic or parabolic, and
uses Hilbert space valued Sobolev theory.Comment: 32 pages, 3 figure
On the varieties of the second row of the split Freudenthal-Tits Magic Square
Our main aim is to provide a uniform geometric characterization of the
analogues over arbitrary fields of the four complex Severi varieties, i.e.~the
quadric Veronese varieties in 5-dimensional projective spaces, the Segre
varieties in 8-di\-men\-sional projective spaces, the line Grassmannians in
14-dimensional projective spaces, and the exceptional varieties of type
in 26-dimensional projective space. Our theorem can be
regarded as a far-reaching generalization of Mazzocca and Melone's approach to
finite quadric Veronesean varieties. This approach takes projective properties
of complex Severi varieties as smooth varieties as axioms.Comment: Small updates, will be published in Annales de l'institut Fourie
- …