The goal of this thesis is to compute the size of the group Θn of h-cobordism classes of homotopy n-spheres for n ≥ 4. We study Θn by studying the Kervaire-Milnor long exact sequence. Various…
Successive Spectral Sequences
If a chain complex is filtered over a poset I, then for every chain in I we obtain a spectral sequence. In this paper we define a spectral system that contains all these spectral sequences and…
Ph. D. Thesis: Pre-quantization of the moduli space of flat G-bundles
This thesis studies the pre-quantization of quasi-Hamiltonian group actions from a cohomological viewpoint. The compatibility of pre-quantization with symplectic reduction and the fusion product are…
Closed geodesics on orbifolds
A FIBER HOMOTOPY EXTENSION THEOREM
H(x, 0)=A(G'(x)(0), p(G'(x))o)(1)=G'(x)(0)=G(x, 0), since A is regular. If xEA, then p((G'(x))t)(s) =pG(x, 0) and again by regularity H(x, t) =G(x, t).
Constructing new spectral systems from simplicial fibrations
- Mathematics, BiologyACM Commun. Comput. Algebra
These new spectral systems are part of a new module for the Kenzo system and can be useful to deduce new relations on the initial spectral sequences and to obtain information about different filtrations of the homology groups of the fiber and the base space of the fibrations.
Effective Computation of Generalized Spectral Sequences
- Mathematics, Computer ScienceISSAC
Algorithms and programs for computing generalized spectral sequences, a useful tool in Computational Algebraic Topology which provides topological information on spaces with generalized filtrations over a poset are presented.
Homotopy groups of spheres and dimension quotients
We construct for every prime $p$ a finitely presented group $G$ in which the dimension quotient $(G\cap(1+\varpi^n))/\gamma_n(G)$ has $p$-torsion for some $n$. The construction uses Serre's element…
Homotopy properties of horizontal path spaces and a theorem of Serre in subriemannian geometry
We discuss homotopy properties of endpoint maps for horizontal path spaces, i.e. spaces of curves on a manifold M whose velocities are constrained to a subbundle Δ ⊂ TM in a nonholonomic way. We…
On the uniqueness of the smooth structure of the 61-sphere
We prove that the 61-sphere has a unique smooth structure. Following results of Moise , Kervaire-Milnor , Browder  and Hill-Hopkins-Ravenel , we show that the only odd dimensional…
SHOWING 1-10 OF 12 REFERENCES
Homology With Local Coefficients
In a recent paper  the author has had occasion to introduce and use what he believed to be a new type of homology theory, and he named it homology with local coefficients. It proved to be the…
Singular Homology Theory
Zur Homologletheorie der Abbildungen und Faserungen von Mannigfaltigkeiten
Nutzungsbedingungen Mit dem Zugriff auf den vorliegenden Inhalt gelten die Nutzungsbedingungen als akzeptiert. Die angebotenen Dokumente stehen für nicht-kommerzielle Zwecke in Lehre, Forschung und…
The Calculus of Variations in the Large
The fixed end point problem in non-parametric form General end conditions The index form Self-adjoint systems The functional on a Riemannian space The critical sets of functions The boundary problem…
L'anneau spectral et l'anneau filtré d'homologie d'un espace localement compact et d'une application continue
Cohomology theory of abelian groups and homotopy theory I.
- MathematicsProceedings of the National Academy of Sciences of the United States of America
The Homology Structure of Sphere Bundles.
- BiologyProceedings of the National Academy of Sciences of the United States of America
Zygotes of C. Reinhardi may produce eight instead of four cells, and the number of zygotes producing eight cells is greater in old than in recently ripened ones, which is not correlated with sexuality.
Beitrdge zur Topologie der Deformationen
- Neder. Akad. Wetensch, I,
KOSZUL. Sur les operateurs de derivation dans un anneau
- C. R. Acad. Sci. Paris,