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Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
ISBN: 0821825585
Category : Mathematics
Languages : en
Pages : 105
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Book Description
This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
ISBN: 0821825585
Category : Mathematics
Languages : en
Pages : 105
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Book Description
This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
ISBN: 0821822284
Category : Mathematics
Languages : en
Pages : 220
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Book Description
This paper is the first of three which will investigate the ring of cobordism classes of closed smooth manifolds with a symplectic structure on their stable normal bundle. The method of computation is the Adams spectral sequence. In this paper, [italic]E2 us computed as an algebra by the May spectral sequence. The [italic]d2 differentials in the Adams spectral sequence are then found by Landweber-Novikov and matric Massey product methods. Algebra generators of [italic]E3 are then determined.
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
ISBN: 9780821860113
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Author: Gregory Arone
Publisher: American Mathematical Soc.
ISBN: 1470417006
Category : $K$-theory -- Higher algebraic $K$-theory -- Algebraic $K$-theory of spaces
Languages : en
Pages : 259
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Book Description
This volume contains the proceedings of the conference on Manifolds, -Theory, and Related Topics, held from June 23–27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, -theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds. This volume is a tribute to the influence of Tom Goodwillie in these fields.
Author: Ralph Howard
Publisher: American Mathematical Soc.
ISBN: 0821825690
Category : Mathematics
Languages : en
Pages : 82
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Book Description
This memoir investigates a method that generalizes the Chern-Federer kinematic formula to arbitrary homogeneous spaces with an invariant Riemannian metric, and leads to new formulas even in the case of submanifolds of Euclidean space.
Author: Jérôme Scherer
Publisher: American Mathematical Soc.
ISBN: 147042911X
Category : Algebraic topology
Languages : en
Pages : 308
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Book Description
This volume contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held from August 15–21, 2016, in Saas-Almagell, Switzerland. The papers cover a broad range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic -theory and topological cyclic, periodic, or Hochschild homology, intersection cohomology, and symplectic topology.
Author: Peter D. T. A. Elliott
Publisher: American Mathematical Soc.
ISBN: 0821825984
Category : Mathematics
Languages : en
Pages : 102
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Book Description
The correlation of multiplicative arithmetic functions on distinct arithmetic progressions and with values in the complex unit disc, cannot be continually near to its possible maximum unless each function is either very close to or very far from a generalized character. Moreover, under accessible condition the second possibility can be ruled out. As a consequence analogs of the standard limit theorems in probabilistic number theory are obtained with the classical single additive function on the integers replaced by a sum of two additive functions on distinct arithmetic progressions.
Author: Alouf Jirari
Publisher: American Mathematical Soc.
ISBN: 082180359X
Category : Mathematics
Languages : en
Pages : 154
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Book Description
This memoir presents machinery for analyzing many discrete physical situations, and should be of interest to physicists, engineers, and mathematicians. We develop a theory for regular and singular Sturm-Liouville boundary value problems for difference equations, generalizing many of the known results for differential equations. We discuss the self-adjointness of these problems as well as their abstract spectral resolution in the appropriate [italic capital]L2 setting, and give necessary and sufficient conditions for a second-order difference operator to be self-adjoint and have orthogonal polynomials as eigenfunctions.
Author: Lynne M. Butler
Publisher: American Mathematical Soc.
ISBN: 082182600X
Category : Mathematics
Languages : en
Pages : 173
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Book Description
This work presents foundational research on two approaches to studying subgroup lattices of finite abelian p-groups. The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices. This approach yields a combinatorial interpretation of the Betti polynomials of these Cohen-Macaulay posets. The second approach, which employs Hall-Littlewood symmetric functions, exploits properties of Kostka polynomials to obtain enumerative results such as rank-unimodality. Butler completes Lascoux and Schützenberger's proof that Kostka polynomials are nonnegative, then discusses their monotonicity result and a conjecture on Macdonald's two-variable Kostka functions.
Author: Peter Cholak
Publisher: American Mathematical Soc.
ISBN: 0821826018
Category : Mathematics
Languages : en
Pages : 166
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Book Description
A version of Harrington's [capital Greek]Delta3-automorphism technique for the lattice of recursively enumerable sets is introduced and developed by reproving Soare's Extension Theorem. Then this automorphism technique is used to show two technical theorems: the High Extension Theorem I and the High Extension Theorem II. This is a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice.
