Results 1  10
of
216
The Encyclopedia of Integer Sequences
"... This article gives a brief introduction to the OnLine Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae, programs ..."
Abstract

Cited by 871 (14 self)
 Add to MetaCart
(Show Context)
This article gives a brief introduction to the OnLine Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae, programs to generate the sequence, references, links to relevant web pages, and other
The Hamiltonian Formalism and ManyValued Analogs of the Morse Theory
 Russian Math Surveys
, 1982
"... § 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the Bphase of 3He 2 ..."
Abstract

Cited by 41 (2 self)
 Add to MetaCart
§ 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the Bphase of 3He 2
Tree level invariants of threemanifolds, massey products and the Johnson homomorphism
, 1999
"... We show that the treelevel part of a theory of finite type invariants of 3manifolds (based on surgery on objects called claspers, Ygraphs or clovers) is essentially given by classical algebraic topology in terms of the Johnson homomorphism and Massey products, for arbitrary 3manifolds. A key r ..."
Abstract

Cited by 33 (0 self)
 Add to MetaCart
(Show Context)
We show that the treelevel part of a theory of finite type invariants of 3manifolds (based on surgery on objects called claspers, Ygraphs or clovers) is essentially given by classical algebraic topology in terms of the Johnson homomorphism and Massey products, for arbitrary 3manifolds. A key role of our proof is played by the notion of a homology cylinder, viewed as an enlargement of the mapping class group, and an apparently new Lie algebra of graphs colored by H1(Σ) of a closed surface Σ, closely related to deformation quantization on a surface [AMR1, AMR2, Ko3] as well as to a Lie algebra that encodes the symmetries of Massey products and the Johnson homomorphism. In addition, we give a realization theorem for Massey products and the Johnson homomorphism by homology cylinders.
Einstein metrics on spheres
 Ann. of Math
, 2005
"... Any sphere S n admits a metric of constant sectional curvature. These canonical metrics are homogeneous and Einstein, that is the Ricci curvature is a constant multiple of the metric. The spheres S 4m+3, m> 1 are known to have another Sp(m + 1)homogeneous Einstein metric discovered by Jensen [Je ..."
Abstract

Cited by 32 (13 self)
 Add to MetaCart
(Show Context)
Any sphere S n admits a metric of constant sectional curvature. These canonical metrics are homogeneous and Einstein, that is the Ricci curvature is a constant multiple of the metric. The spheres S 4m+3, m> 1 are known to have another Sp(m + 1)homogeneous Einstein metric discovered by Jensen [Jen73]. In addition,
Triangulating and Smoothing Homotopy Equivalences and Homeomorphisms. Geometric Topology Seminar Notes
"... We will study the smooth and piecewise linear manifolds within a given homotopy equivalence class. In the rst part we nd an obstruction theory for deforming a homotopy equivalence between manifolds to a dieomorphism or a piecewise liear homeomorphism. In the second part we analyze the piecewise line ..."
Abstract

Cited by 24 (0 self)
 Add to MetaCart
We will study the smooth and piecewise linear manifolds within a given homotopy equivalence class. In the rst part we nd an obstruction theory for deforming a homotopy equivalence between manifolds to a dieomorphism or a piecewise liear homeomorphism. In the second part we analyze the piecewise linear case and
The surgery obstruction groups of the infinite dihedral group
 Geometry and Topology
"... This paper computes the following quadratic Witt groups: Ln(Z[t ±]), Ln(Z[D∞],w), and UNiln(Z; Z ± , Z ±). We show, for example, that L3(Z[t]) is an infinite direct sum of cyclic groups of orders 2 and 4. The techniques used are quadratic linking forms over Z[t] for n odd and Arf invariants for n ev ..."
Abstract

Cited by 23 (4 self)
 Add to MetaCart
This paper computes the following quadratic Witt groups: Ln(Z[t ±]), Ln(Z[D∞],w), and UNiln(Z; Z ± , Z ±). We show, for example, that L3(Z[t]) is an infinite direct sum of cyclic groups of orders 2 and 4. The techniques used are quadratic linking forms over Z[t] for n odd and Arf invariants for n even. 1 Introduction and Statement of Results In this paper we complete the computation of the Wall surgery obstruction groups for the infinite dihedral group, the Ltheory of the polynomial ring Z[t], the Ltheory of the Laurent polynomial ring Ln(Z[t, t −1]), with either the trivial involution or the involution t ↦ → −t, and the Cappell unitary
Framed bordism and lagrangian embeddings of exotic spheres
, 2008
"... 2. Construction of the bounding manifold 3 3. Transversality 21 4. Preliminaries for gluing 28 ..."
Abstract

Cited by 20 (3 self)
 Add to MetaCart
(Show Context)
2. Construction of the bounding manifold 3 3. Transversality 21 4. Preliminaries for gluing 28