Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 66 for “"K-Theory"”.
-
On complex connective K-theory,
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1969
-
Scissors congruence and K-theory
… a version of classical scissors congruence theory from the perspective of algebraic K-theory. Classically, two polytopes in a manifold X are defined to be scissors congruent if they can be decomposed into finite sets of pairwise-congruent polytopes. We generalize this notion to an abstract …
-
$\textit{K}$-Theory of Fermat Curves
I investigate the $K_2$ groups of the quotients of Fermat curves given in projective coordinates by the equation $F_n:X^n+Y^n=Z^n$. On any quotient where the number of known elements is equal to the rank predicted by Beilinson’s Conjecture I verify numerically that the determinant of the matrix of …
-
Arithmetic duality in algebraic K-theory
… variant Kc(X) of the algebraic K-theory spectrum K(X), and establish the basic functoriality of Kc. Briefly, K, behaves as if it were dual to K. Then we give this duality some grounding: for every prime t invertible on X, we define a natural l-adic pairing between Kc(X) and K(X). …
-
The connective K theory of semidihedral groups
… some relations at the stage of connective K-theory between SD16 and its maximal subgroup, (dihedral groups, quaternion groups and cyclic group of order 8).
-
A Postnikov tower for algebraic K-theory
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
-
Smooth K-theory and locally convex algebras
… Using this improvement allows us to extend K-theory (including periodicity) to a class of locally convex algebras vastly larger then the one of Banach algebras. We find various ways to represent periodicity by explicit formulae. For finite Laurent loops formulae yielding finite matrices to …
-
The operation ring for connective K-theory.
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1967.
-
The Lefschetz -Reidemeister Trace in Algebraic K -Theory
… under a map of spaces whose domain is the K-theory of a ring with a bimodule and whose range is the Hochschild homology of the ring with the bimodule. One also recovers the Lefschetz-Nielsen series of the self-map in a similar context. This point of view suggests a natural extension of the …
-
Motivic complexes and the K-theory of automorphisms
It has long been suspected that the conjectural motivic cohomology groups of a smooth variety X are related to the algebraic K-groups of X. Explicitly, it is expected that there is a spectral sequence whose terms are the motivic cohomology groups of X which converges to the algebraic K-groups of X. …
-
Motivic symmetric ring spectrum representing algebraic K-theory
… is a motivic spectrum representing algebraic K-theory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one verifies the symmetry. It is explained and solved by introducing a category of vector bundles with strictly associative tensor …
-
Equivariant elliptic cohomology and twisted equivariant k-theory
… elliptic cohomology and twisted equivariant K-theory are both related to the representations of loop groups. After making these relationships precise, we propose a map from twisted equivariant elliptic cohomology to twisted K-theory of the inertia stack using equivariant de Rham models. This …
-
Spaces of diffeomorphisms and embeddings via algebraic K-theory
… of high-dimensional manifolds via algebraic K-theory. In the first paper, presented in Chapter 1, we show that the mapping class group is not an h-cobordism invariant of high-dimensional manifolds by exhibiting h-cobordant manifolds whose mapping class groups have different cardinalities. To do …
-
Multiplicative Orientations of K -Theory and P-Adic Analysis
… Rezk characterize Einfinity orientations of K-Theory. Their description involves producing measures on the p-adic units with certain moments. In his thesis, Ando produced a criterion for an orientation to be Hinfinity. His theorem is a condition on the induced formal group law. We connect these …
-
A motivic norm structure on equivariant algebraic K-theory
Equivariant motivic homotopy theory is a homotopy theory of schemes with algebraic group actions. This thesis is mainly divided into two parts. In the first part, we define four model categories of motivic spectra that present the $\infty$-category $\SH^G(S)$. We use the model categorical setup to …
-
K-theory and index theory on manifolds with boundary
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
-
A Geometric Model for Real and Complex Differential K-theory
… model for real and complex differential K-theory based on a smooth manifold model for the K-theory spectra defined by Behrens using spaces of Clifford module extensions. After writing representative differential forms for the universal Pontryagin and Chern characters we transgress these …
-
cdh descent for homotopy Hermitian K-Theory of rings with involution
… then prove a periodicity theorem for Hermitian K-theory and use it to construct an E-infinity motivic ring spectrum representing homotopy Hermitian K-theory. From these results, we show that the representing spectrum is stable under base change, and cdh descent for homotopy Hermitian K-theory of …
-
An infinite loop space structure for K-theory of bimonoidal categories
… the authors introduce the notion of the K- theory of a bimonoidal category R, and show that it is equivalent to the algebraic K-theory space of the ring spectrum KR. In this thesis we show that K(R) is the group completion of the classifying space of the 2-category ModR of modules over R, …
-
Computational methods for higher real K-theory with applications to tmf
… the homotopy groups of the Hopkins-Miller real K-theory spectra for heights large than p- 1 at p. The basic computations are supplemented with conjectures as to the collapse of the spectral sequences used herein to compute the homotopy.
Page 1 of 4