On the Topology of Spaces of Holomorphic Maps
Author : Jens Gravesen
Publisher :
Page : 73 pages
File Size : 36,95 MB
Release : 1987
Category :
ISBN :
Author : Jens Gravesen
Publisher :
Page : 73 pages
File Size : 36,95 MB
Release : 1987
Category :
ISBN :
Author : Jeremy Kenneth Miller
Publisher :
Page : pages
File Size : 44,27 MB
Release : 2012
Category :
ISBN :
In [Seg79], Graeme Segal proved that the space of holomorphic maps from a Riemann surface to a complex projective space is homology equivalent to the corresponding continuous mapping space through a range of dimensions increasing with degree. I will address if a similar result holds when other almost complex structures are put on projective space. For any compatible almost complex structure J on CP^2, I prove that the inclusion map from the space of J-holomorphic maps to the space of continuous maps induces a homology surjection through a range of dimensions tending to infinity with degree. The proof involves comparing the scanning map of topological chiral homology ([Sal01], [Lur09], [And10]) with gluing of J-holomorphic curves ([MS94], [Sik03]).
Author : Leopoldo Nachbin
Publisher :
Page : 108 pages
File Size : 20,14 MB
Release : 2014-08-15
Category : Analytic functions
ISBN : 9783642885129
Author :
Publisher : Elsevier
Page : 235 pages
File Size : 15,47 MB
Release : 1980-01-01
Category : Mathematics
ISBN : 0080871518
Holomorphic Maps and Invariant Distances
Author : John W. Havlicek
Publisher :
Page : 278 pages
File Size : 10,86 MB
Release : 1992
Category :
ISBN :
Author : Jens Gravesen
Publisher :
Page : 0 pages
File Size : 25,28 MB
Release : 1987
Category : Flag manifolds
ISBN :
Author : Mikhail Gromov
Publisher :
Page : pages
File Size : 20,42 MB
Release : 1999
Category :
ISBN :
Author : Jens Gravesen
Publisher :
Page : 148 pages
File Size : 41,86 MB
Release : 1987
Category : Flag manifolds
ISBN :
Author : Dusa McDuff
Publisher : American Mathematical Soc.
Page : 744 pages
File Size : 29,57 MB
Release : 2012
Category : Mathematics
ISBN : 0821887467
The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology.
Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 26,78 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 3662035820
In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.