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The Encyclopedia of Integer Sequences
"... This article gives a brief introduction to the On-Line 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 ..."
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Cited by 871 (14 self)
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This article gives a brief introduction to the On-Line 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 Many-Valued 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 B-phase of 3He 2 ..."
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Cited by 41 (2 self)
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§ 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the B-phase of 3He 2
Tree level invariants of threemanifolds, massey products and the Johnson homomorphism
, 1999
"... We show that the tree-level part of a theory of finite type invariants of 3-manifolds (based on surgery on objects called claspers, Y-graphs or clovers) is essentially given by classical algebraic topology in terms of the Johnson homomorphism and Massey products, for arbitrary 3-manifolds. A key r ..."
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Cited by 33 (0 self)
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We show that the tree-level part of a theory of finite type invariants of 3-manifolds (based on surgery on objects called claspers, Y-graphs or clovers) is essentially given by classical algebraic topology in terms of the Johnson homomorphism and Massey products, for arbitrary 3-manifolds. 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 ..."
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Cited by 32 (13 self)
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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 ..."
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Cited by 24 (0 self)
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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 ..."
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Cited by 23 (4 self)
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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 L-theory of the polynomial ring Z[t], the L-theory 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 ..."
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Cited by 20 (3 self)
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2. Construction of the bounding manifold 3 3. Transversality 21 4. Preliminaries for gluing 28
