A calculation of Pin+ Bordism groups.
A Note on the algebra P(n) * (P(n)) for the Prime 2.
A Splitting Theorem for Certain Cohomology Theories Associated to BP* ( - ).
Adams spectral sequence and higher torsion in MSp*.
In this paper we study higher torsion in the symplectic cobordism ring. We use Toda brackets and manifolds with singularities to construct elements of higher torsion and use the Adams spectral sequence to determine an upper bound for the order of these elements.
Approximation axiomatique à la théorie du bordisme
Calculs de groupes d'homotopie stables de la sphère, par la suite spectrale d'Adams-Novikov.
Classes caractéristiques et fondamentales en cobordismes et K-théories
Cobordism Obstructions to Deforming Isolated Singularities.
Cobordisms of fold maps of 2k+2-manifolds into
We calculate the group of cobordisms of k-codimensional maps into Euclidean space with no singularities more complicated than fold for a 2k+2-dimensional source manifold in both oriented and unoriented cases.
Commuting involutions whose fixed point set consists of two special components
Let Fⁿ be a connected, smooth and closed n-dimensional manifold. We call Fⁿ a manifold with property when it has the following property: if is any smooth closed m-dimensional manifold with m > n and is a smooth involution whose fixed point set is Fⁿ, then m = 2n. Examples of manifolds with this property are: the real, complex and quaternionic even-dimensional projective spaces , and , and the connected sum of and any number of copies of Sⁿ × Sⁿ, where Sⁿ is the n-sphere and n is not...
Completions of Z-Tate cohomology of periodic spectra.
Complex Bordism and Finite Solvable Groups with Periodic Cohomology.
Complex Bordism and Free Unitary Actions of Finite Solvable Groups with Periodic Cohomology on Spheres.
Complex cobordism of involutions.
Construction d’éléments dans
Cores of spaces, spectra, and ring spectra.
Der Conner-Floyd-Isomorphismus für Abelsche Gruppen.
Elliptic cohomologies: an introductory survey.
Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics.In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x √R(y) + y √R(x)/1 - εx2y2)....
Elliptic cohomology
Equivariant formal group laws and complex oriented cohomology theories.