Add to ORKGThe purpose of this thesis is to describe a construction of semi-infinite de Rham cohomology for infinite dimensional manifolds equipped with the extra structure of a polarisation. We describe the construction for finite dimensions and show how it extends to other cases; in particular the semi-infinite. We then define variations for Hilbert manifolds which allow us to calculate the semi-infinite cohomology of the projective space and the Grassmannians of a polarised Hilbert space. Finally, we consider some of the implications of these results for index theory, in particular for the Witten genus
AbstractThe space ΓX of all locally finite configurations in a Riemannian manifold X of infinite vol...
This thesis consists of six chapters and deals with four topics related to De Rham Theory on semialg...
This thesis stresses the strong link between the existence of partial holomorphic connections on the...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN050949 / BLDSC - British Library D...
Let $X$ be a compact Riemann surface, $\Sigma$ a finite set of points and $M = X\setminus \Sigma$. W...
This paper is concerned with a study of the structure of infinite dimensional manifolds, giving info...
In his seminal paper Infinitesimal Computations in Topology, Sullivan constructs algebraic models fo...
In his seminal paper Infinitesimal Computations in Topology, Sullivan constructs algebraic models fo...
In his seminal paper Infinitesimal Computations in Topology, Sullivan constructs algebraic models fo...
We prove an analogue of the de Rham theorem for the extended L²-cohomology introduced by M.Farber [F...
International audienceWith a basic knowledge of cohomology theory, the background necessary to under...
AbstractIn [A.J. Baker, C. Ozel, Complex cobordism of Hilbert manifolds with some applications to fl...
We develop a new method for analyzing moduli problems related to the stack of pure coherent sheaves ...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied ...
AbstractThe space ΓX of all locally finite configurations in a Riemannian manifold X of infinite vol...
This thesis consists of six chapters and deals with four topics related to De Rham Theory on semialg...
This thesis stresses the strong link between the existence of partial holomorphic connections on the...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN050949 / BLDSC - British Library D...
Let $X$ be a compact Riemann surface, $\Sigma$ a finite set of points and $M = X\setminus \Sigma$. W...
This paper is concerned with a study of the structure of infinite dimensional manifolds, giving info...
In his seminal paper Infinitesimal Computations in Topology, Sullivan constructs algebraic models fo...
In his seminal paper Infinitesimal Computations in Topology, Sullivan constructs algebraic models fo...
In his seminal paper Infinitesimal Computations in Topology, Sullivan constructs algebraic models fo...
We prove an analogue of the de Rham theorem for the extended L²-cohomology introduced by M.Farber [F...
International audienceWith a basic knowledge of cohomology theory, the background necessary to under...
AbstractIn [A.J. Baker, C. Ozel, Complex cobordism of Hilbert manifolds with some applications to fl...
We develop a new method for analyzing moduli problems related to the stack of pure coherent sheaves ...
An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homo...
Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied ...
AbstractThe space ΓX of all locally finite configurations in a Riemannian manifold X of infinite vol...
This thesis consists of six chapters and deals with four topics related to De Rham Theory on semialg...
This thesis stresses the strong link between the existence of partial holomorphic connections on the...