Rational homotopy type and self maps
نویسندگان
چکیده
منابع مشابه
4 Homotopy Operations and Rational Homotopy Type
In [HS] and [F1] Halperin, Stasheff, and Félix showed how an inductively-defined sequence of elements in the cohomology of a graded commutative algebra over the rationals can be used to distinguish among the homotopy types of all possible realizations, thus providing a collection of algebraic invariants for distinguishing among rational homotopy types of spaces. There is also a dual version, in...
متن کاملRational homotopy stability for the spaces of rational maps
Let Holnx0(CP 1,X) be the space of based holomorphic maps of degree n from CP1 into a simply connected algebraic variety X. Under some condition we prove that the map Holnx0(CP 1,X) −→ Hol x0 (CP 1,X) obtained by compositing f ∈ Holnx0(CP 1,X) with g(z) = z, z ∈ CP1 induces rational homotopy equivalence up to some dimension, which tends to infinity as the degree grows.
متن کاملHomotopy of Rational Maps and the Quantization of Skyrmions
The Skyrme model is a classical field theory which models the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is semi-classically quantized it is important to take the Finkelstein-Rubinstein constraints into account. The aim of this paper is to show how to calculate these FR constraints directly from the rational ...
متن کاملRational homotopy type of subspace arrangements
Remerciements La première personne que je souhaite remercier est évidemment mon cher promoteur, Yves Félix. C'est grâce à sa patience et à sa vision que j'ai appris et apprécié le monde de la topologie algébrique. Une autre personne qui a joué un rôle important dans mon éducation mathématique est certainement Pascal Lambrechts, qui mérite toute ma gratitude pour m'avoir enseigné tellement de ch...
متن کاملSe p 20 03 CYCLIC MAPS IN RATIONAL HOMOTOPY THEORY
The notion of a cyclic map g : A→ X is a natural generalization of a Gottlieb element in πn(X). We investigate cyclic maps from a rational homotopy theory point of view. We show a number of results for rationalized cyclic maps which generalize well-known results on the rationalized Gottlieb
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 the Mathematical Society of Japan
سال: 1979
ISSN: 0025-5645
DOI: 10.2969/jmsj/03130427