The symplectic mapping class group of $CP^2 \#n \overline{CP^2}$ with $n \le 4$
نویسندگان
چکیده
منابع مشابه
Lagrangian spheres, symplectic surfaces and the symplectic mapping class group
Given a Lagrangian sphere in a symplectic 4-manifold (M,ω) with b+ = 1, we find embedded symplectic surfaces intersecting it minimally. When the Kodaira dimension κ of (M,ω) is −∞, this minimal intersection property turns out to be very powerful for both the uniqueness and existence problems of Lagrangian spheres. On the uniqueness side, for a symplectic rational manifold and any class which is...
متن کاملSymplectic structures on right-angled Artin groups: Between the mapping class group and the symplectic group
We define a family of groups that include the mapping class group of a genus g surface with one boundary component and the integral symplectic group Sp.2g;Z/ . We then prove that these groups are finitely generated. These groups, which we call mapping class groups over graphs, are indexed over labeled simplicial graphs with 2g vertices. The mapping class group over the graph is defined to be ...
متن کاملSymplectic Floer Homology and the Mapping Class Group
We consider symplectic Floer homology in the lowest nontrivial dimension, that is to say, for area-preserving diffeomorphisms of surfaces. Particular attention is paid to the quantum cap product.
متن کامل[n]Sila-acenes (n=2-4): The Influence of Ring Size on the Properties
The structures and properties of [n]sila-acenes (n=2-4) were investigated by density functional theory method. The results of calculations were obtained at B3LYP/6-311G (d,p) level on model species. Energetic criteria suggest that 2-1b (n=2), 3-1b (n=3), and 4-1b (n=4) isomers enjoy stabilization. By frontier orbital analysis, these systems are among the most stable of the family. Also, calcula...
متن کاملMapping Class Subgroups of Out(f N )
We construct a covering of Culler-Vogtmann Outer space by the Teichmüller spaces of punctured surfaces. By considering the equivariant homology for the action of Out(Fn) on this covering, we construct a spectral sequence converging to the homology of Out(Fn) that has E terms given by the homology of mapping class groups and groups that are, up to finite index, subgroups of mapping class groups....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2015
ISSN: 0026-2285
DOI: 10.1307/mmj/1434731926