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Results 1 - 10
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4,395
Holomorphic Disks and Topological Invariants for Closed Three-Manifolds
- ANN. OF MATH
, 2000
"... The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin c structure t. Given a Heegaard splitting of Y -- U0 tie U1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Y relat ..."
Abstract
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Cited by 274 (37 self)
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The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin c structure t. Given a Heegaard splitting of Y -- U0 tie U1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Y
Topological invariant variables in QCD
, 2008
"... We show that the class of functions of topologically nontrivial gauge transformations in QCD includes a zero-mode of the Gauss law constraint. The equivalent unconstrained system compatible with Feynman’s integral is derived in terms of topological invariant variables, where the zero-mode is identif ..."
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We show that the class of functions of topologically nontrivial gauge transformations in QCD includes a zero-mode of the Gauss law constraint. The equivalent unconstrained system compatible with Feynman’s integral is derived in terms of topological invariant variables, where the zero
Topological invariants of Anosov representations
- J. Topol
"... Abstract. We define new topological invariants for Anosov represen-tations and study them in detail for maximal representations of the fundamental group of a closed oriented surface Σ into the symplectic group Sp(2n,R). In particular we show that the invariants distinguish connected components of th ..."
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Cited by 11 (1 self)
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Abstract. We define new topological invariants for Anosov represen-tations and study them in detail for maximal representations of the fundamental group of a closed oriented surface Σ into the symplectic group Sp(2n,R). In particular we show that the invariants distinguish connected components
Topology invariance in Percolation Thresholds
, 1998
"... An universal invariant for site and bond percolation thresholds ( pcs and pcb respectively) is proposed. The invariant writes {pcs} 1 1 as a {pcb} b = δ/d where as, ab and δ are positive constants, and d the space dimension. It is independent of the coordination number, thus exhibiting a topology in ..."
Abstract
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Cited by 1 (0 self)
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An universal invariant for site and bond percolation thresholds ( pcs and pcb respectively) is proposed. The invariant writes {pcs} 1 1 as a {pcb} b = δ/d where as, ab and δ are positive constants, and d the space dimension. It is independent of the coordination number, thus exhibiting a topology
Quantum supergroups and topological invariants of threemanifolds
- Reviews in Mathematical Physics 7(5
, 1995
"... The Reshetikhin- Turaeve approach to topological invariants of three- manifolds is generalized to quantum supergroups. A general method for constructing three- manifold invariants is developed, which requires only the study of the eigenvalues of certain central elements of the quantum supergroup in ..."
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Cited by 9 (3 self)
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The Reshetikhin- Turaeve approach to topological invariants of three- manifolds is generalized to quantum supergroups. A general method for constructing three- manifold invariants is developed, which requires only the study of the eigenvalues of certain central elements of the quantum supergroup
Topological invariants of eigenvalue intersections and . . .
, 2014
"... We investigate the asymptotic decrease of the Wannier functions for the valence and conduction band of graphene, both in the monolayer and the multilayer case. Since the decrease of the Wannier functions is characterised by the structure of the Bloch eigenspaces around the Dirac points, we introdu ..."
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introduce a geometric invariant of the family of eigenspaces, baptised eigenspace vorticity. We compare it with the pseudospin winding number. For every value n ∈ Z of the eigenspace vorticity, we exhibit a canonical model for the local topology of the eigenspaces. With the help of these canonical models
Topological Invariance of Chow Varieties
"... By definition Chow varieties are invariants of embeddings of algebraic varieties in projective spaces. Hoyt showed that the algebraic homeomorphism type is determined by the algebraic isomorphism class of the variety. In this paper a rectified version of his proof is given. The use of resultants red ..."
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Cited by 1 (0 self)
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By definition Chow varieties are invariants of embeddings of algebraic varieties in projective spaces. Hoyt showed that the algebraic homeomorphism type is determined by the algebraic isomorphism class of the variety. In this paper a rectified version of his proof is given. The use of resultants
Topological Invariants of Symplectic Quotients
, 1997
"... A u th or........................................................... ..."
Abstract
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Cited by 2 (1 self)
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A u th or...........................................................
Algebraic Topology Invariants
, 2012
"... Two continuous functions f,g: X → Y from a topological space X to another, Y are called homotopic if one can be "continuously deformed " into the other. Such a deformation is called a homotopy H: X × I → Y between the two functions. Two spaces X,Y are called homotopy equivalent if there ar ..."
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Two continuous functions f,g: X → Y from a topological space X to another, Y are called homotopic if one can be "continuously deformed " into the other. Such a deformation is called a homotopy H: X × I → Y between the two functions. Two spaces X,Y are called homotopy equivalent
Results 1 - 10
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4,395
