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Algebraic K-theory
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201	The Bar Construction Let k be a commutative ring and let A be a k-algebra. Let X be a right module over A and let Y be a left module over A. Then we can construct a simplicial k-module {Bn (X, A, Y )}∞ n=0 whose ⊗n n Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2011-12-11 17:09:27 Homotopy theory Fiber bundles Group actions Category theory Algebraic topology Simplicial set Classifying space Functor Universal bundle Abstract algebra Topology Algebra
202	FINITENESS OF K3 SURFACES AND THE TATE CONJECTURE arXiv:1107.1221v3 [math.AG] 2 Dec 2011 MAX LIEBLICH, DAVESH MAULIK, AND ANDREW SNOWDEN A BSTRACT. Given a finite field k of characteristic p ≥ 5, we show that the Tate Add to Reading List Source URL: arxiv.org Language: English - Date: 2014-01-26 18:45:57 Galois theory Homological algebra Algebraic number theory Cohomology theories Finite field P-adic Hodge theory Crystalline cohomology P-adic number Lattice Abstract algebra Algebra Field theory
203	ON THE 2-CLASS FIELD TOWER OF A QUADRATIC NUMBER FIELD HELMUT KOCH 1. Introduction Let k = k (0,2) be a quadratic number field with discriminant ∆. For n ≥ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-22 07:56:02 Field theory Galois theory Quadratic field Algebraic number field Class field theory Ideal class group Kummer theory Galois group Artin reciprocity law Abstract algebra Algebra Algebraic number theory
204	Citation: K.A. Olive et al. (Particle Data Group), Chin. Phys. C38, [removed]URL: http://pdg.lbl.gov) I G (J P ) = 1− (0− ) π± Add to Reading List Source URL: pdg.lbl.gov Language: English - Date: 2014-08-21 15:56:30 Pion Algebraic geometry Field theory Valuation
205	RATIONAL QUARTIC RECIPROCITY FRANZ LEMMERMEYER Abstract. We provide a simple proof of the general rational quartic reciprocity law due to Williams, Hardy and Friesen. In 1985, K. S. Williams, K. Hardy and C. Friesen [11 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:07 Modular arithmetic Algebraic number theory Quadratic residue Quartic reciprocity Reciprocity law Quadratic reciprocity Legendre symbol Prime number Reciprocity Abstract algebra Number theory Mathematics
206	CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:18 Quadratic field Hilbert class field Algebraic number field Ideal class group Splitting of prime ideals in Galois extensions Discriminant Reciprocity law Quaternion algebra Field extension Abstract algebra Algebra Algebraic number theory
207	CLASS GROUPS OF DIHEDRAL EXTENSIONS FRANZ LEMMERMEYER Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we w Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:23 Frobenius group Field extension Normal extension Algebraic number theory Class field theory Galois theory Discriminant of an algebraic number field Abstract algebra Field theory Algebra
208	COARSE TOPOLOGY, ENLARGEABILITY, AND ESSENTIALNESS B. HANKE, D. KOTSCHICK, J. ROE, AND T. SCHICK A BSTRACT. Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-triv Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 K-theory Differential topology Algebraic topology Geometric topology Surgery theory Differentiable manifold Atiyah–Singer index theorem Baum–Connes conjecture Degree of a continuous mapping Topology Mathematics Abstract algebra
209	ENLARGEABILITY AND INDEX THEORY B. Hanke and T. Schick Abstract Let M be a closed enlargeable spin manifold. We show nontriviality of the universal index obstruction in the K-theory of the maximal C ∗ -algebra of the f Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:01 Algebraic topology Fiber bundles Differential topology Differential geometry Connection Vector bundle Connection form Holonomy Tangent space Topology Mathematical analysis Mathematics
210	THE STABLE FREE RANK OF SYMMETRY OF PRODUCTS OF SPHERES BERNHARD HANKE A BSTRACT. A well known conjecture in the theory of transformation groups states that if p is a prime and (Z/p)r acts freely on a product of k sphere Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Homotopy theory Homology theory Homological algebra Binary operations Cohomology Rational homotopy theory Cup product Chain complex Model category Abstract algebra Topology Algebraic topology

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