Loop spaces as complex manifolds
نویسندگان
چکیده
منابع مشابه
Finite loop spaces are manifolds
One of the motivating questions for surgery theory was whether every finite H:space is homotopy equivalent to a Lie group. This question was answered in the negative by Hilton and Roitberg 's discovery of some counterexamples [18]. However, the problem remained whether every finite H-space is homotopy equivalent to a closed, smooth manifold. This question is still open, but in case the H-space ...
متن کاملThe Realizability of Local Loop Spaces as Manifolds
As an extension of earlier work, we show that every P -local loop space, where P is a set of primes, is homotopy equivalent to the P -localization of a compact, smooth, parallelizable manifold. A similar result is also proved for P -complete loop spaces.
متن کاملTwistor Spaces and Balanced Metrics on Complex Manifolds Complex manifolds of complex dimension
Complex manifolds of complex dimension 1 (Riemann surfaces) are of course always Kähler, that is admit Kähler metrics, on account of the obvious dimension situation: dω=0 simply because it is a 3-form! This dimensional necessity naturally does not apply in complex dimension 2 or higher, but as it happens, most compact complex surfaces in fact are Kähler. Moreover, the non-Kähler examples occurr...
متن کاملExamples of singular normal complex spaces which are topological manifolds.
In case V is irreducible with singular curve C, we cannot write every oeH3(W V) as a tube. Indeed, oa = 6C4 and C4 Will meet C in a finite number of points. The trouble is similar to the above and may be overcome as follows: Let DC V be a curve meeting C transversely at a finite number of points pi,...pt. For simplicity, assume t = 1, p = pi, and let B be a small ball around p in W. We may assu...
متن کاملShape Manifolds, Procrustean Metrics, and Complex Projective Spaces
The shape-space l.m whose points a represent the shapes of not totally degenerate /c-ads in IR m is introduced as a quotient space carrying the quotient metric. When m = 1, we find that Y\ = S~; when m ^ 3, the shape-space contains singularities. This paper deals mainly with the case m = 2, when the shape-space I* c a n be identified with a version of CP*~. Of special importance are the shape-m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1993
ISSN: 0022-040X
DOI: 10.4310/jdg/1214454481