Formal moduli for one-parameter formal Lie groups
نویسندگان
چکیده
L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html), implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
منابع مشابه
TOPOLOGICAL MODULAR FORMS [after Hopkins, Miller, and Lurie]
In the early 1970s, Quillen [Qui] noticed a strong connection between 1-parameter formal Lie groups and cohomology theories with a natural theory of Chern classes. The algebraic geometry of these formal Lie groups allowed Morava, Ravenel, and others to make predictions about large scale phenomena in stable homotopy theory, and the resulting theorems completely changed the field. For example, th...
متن کاملThe Moduli Space of 6-dimensional 2-step Nilpotent Lie Algebras
We determine the moduli space of metric 2-step nilpotent Lie algebras of dimension up to 6. This space is homeomorphic to a cone over a 4-dimensional contractible simplicial complex.
متن کاملDeformations of Coisotropic Submanifolds and Strong Homotopy Lie Algebroids
In this paper, we study deformations of coisotropic submanifolds in a symplectic manifold. First we derive the equation that governs C∞ deformations of coisotropic submanifolds and define the corresponding C∞-moduli space of coisotropic submanifolds modulo the Hamiltonian isotopies. This is a non-commutative and non-linear generalization of the well-known description of the local deformation sp...
متن کاملTrace Functionals on Non-commutative Deformations of Moduli Spaces of Flat Connections
Let G be a compact connected and simply connected Lie group, and Σ be a compact topological Riemann surface with a point p marked on it. One can associate to this data the moduli space of flat G connections on the punctured Riemann surface Σ denoted by MG = M[Σp]. This space decomposes into a union MG = ∪σM G(σ) of moduli spaces of flat connections with the holonomy around the point p fixed in ...
متن کامل7 A ug 2 00 6 THE MODULI SPACE OF N = 2 SUPER - RIEMANN SPHERES WITH TUBES
Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic N = 2 superconformal field theory , we define the moduli space of N = 2 super-Riemann spheres with oriented and ordered half-infinite tubes (or equivalently, oriented and ordered punctures, and local superconformal coordinates vanishing at the punctures), modulo N = 2 superconformal equivalence...
متن کامل