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Free loop spaces and cyclohedra
It is well-known that a based space is of the weak homotopy type of a loop space iff it is a grouplike algebra over an -operad. The classical model for such an operad consists of Stasheff’s associahedra. The present paper describes a similar recognition principle for free loop spaces. Let be an operad, a -module and a -algebra. An -trace over consists of a space and a module homomorphism over the operad homomorphism given by the algebra structure on . Let be the little 1-cubes...
From astrology to topology via Feynman diagrams and Lie algebras
Summary of the three lectures. These notes are available electronically at http://www.ma.huji.ac.il/~drorbn/Talks/Srni-9901/notes.html.
From the Fermi-Walker to the Cartan connection
Let be a -manifold with a Riemannian conformal structure . Given a regular curve on , the authors define a linear operator on the space of (differentiable) vector fields along , only depending on , called the Fermi-Walker connection along . Then, the authors introduce the concept of Fermi-Walker parallel vector field along , proving that such vector fields set up a linear space isomorphic to the tangent space at a point of . This allows to consider the Fermi-Walker horizontal lift of...
G-connections as twisted formal solutions of systems of PDE's related to geometric structures
General poisson algebras
General structured bundles
Summary: [For the entire collection see Zbl 0742.00067.]A general theory of fibre bundles structured by an arbitrary differential-geometric category is presented. It is proved that the structured bundles of finite type coincide with the classical associated bundles.
Generalized Einstein manifolds
[For the entire collection see Zbl 0699.00032.] A manifold (M,g) is said to be generalized Einstein manifold if the following condition is satisfied where S(X,Y) is the Ricci tensor of (M,g) and (X), (X) are certain -forms. In the present paper the author studies properties of conformal and geodesic mappings of generalized Einstein manifolds. He gives the local classification of generalized Einstein manifolds when g( (X), (X)).
Generic orbits of the diffeomorphism group of a two-manifold in the space of regular momenta
Geodesics and curvature of semidirect product groups
Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.
Geometric constructions and representations
[For the entire collection see Zbl 0742.00067.]Let be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of on Dolbeault cohomology spaces and the tempered series of representations of on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric quantization....
Geometry meaning of curvatures in Finsler geometry
Geometry of BRST-formalism
Graded Riemann surfaces and Krichever-Novikov algebras
Hartogs phenomena for Hermitian vector bundles