lSpace Category — differential geometry

Overview

The lSpace wiki has 18 pages in this category.

Pages

• A bicategory of reduced orbifolds from the point of view of differential geometry
• A loop group extension of the odd Chern character
• An introduction to d-manifolds and derived differential geometry
• Axiomatic Differential Geometry 2-2: Differential Forms
• Axiomatic Differential Geometry I
• Chern-Weil theory for certain infinite-dimensional Lie groups
• Circle actions and scalar curvature
• Invariant tubular neighborhoods in infinite-dimensional {R}iemannian geometry, with applications to {Y}ang-{M}ills theory
• Overview of the Geometries of Shape Spaces and Diffeomorphism Groups
• Perturbative sigma models, elliptic cohomology and the Witten genus
• Puzzling the 120-cell
• Rho-classes, index theory and Stolz' positive scalar curvature sequence
• Smooth structures on non-orientable four-manifolds and free involutions
• Sub-riemannian geometry from intrinsic viewpoint
• Sub-Riemannian geometry on infinite-dimensional manifolds
• The Chern Character of Certain Infinite Rank Bundles arising in Gauge Theory
• The Gromoll filtration, KO-characteristic classes and metrics of positive scalar curvature
• The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles