搜索结果: 1-15 共查到“拓扑学 C-algebras”相关记录24条 . 查询时间(0.109 秒)
Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
Operadic formulation topological vertex algebras Gerstenhaber Batalin-Vilkovisky algebras
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2015/3/25
We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we...
On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
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2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
Skein algebras and cluster algebras of marked surfaces
Skein algebras cluster algebras marked surfaces Quantum Algebra Geometric Topology
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2012/4/17
This paper defines several algebras associated to an oriented surface S with a finite set of marked points on the boundary. The first is the skein algebra Sk_q(S), which is spanned by links in the sur...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
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2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
Character algebras of decorated SL_2(C)-local systems
Character algebras decorated SL_2(C)-local systems Geometric Topology
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2011/9/13
Abstract: Let S be a path-connected, locally-compact CW-complex, and let M be a subcomplex with finitely-many components. A `decorated SL_2(C)-local system' is an SL_2(C)-local system on S, together w...
On Khovanov-Seidel quiver algebras and bordered Floer homology
Khovanov-Seidel quiver algebras bordered Floer homology Geometric Topology
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2011/9/6
Abstract: We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associat...
On resolutions of diagrams of algebras
diagrams of algebras Algebraic Topology K-Theory and Homology
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2011/8/29
Abstract: We prove a restricted version of a conjecture by M. Markl on resolutions of an operad describing diagrams of algebras. We discuss a particular case related to the Gerstenhaber-Schack diagram...
Graphs and the (co)homology of Lie algebras
Graphs (co)homology Lie algebras
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2011/8/23
Abstract: In this paper, we develop a diamond graph theory and apply the theory to the (co)homology of the Lie algebra generated by positive systems of the classical semi-simple Lie algebras over the ...
Topological Insulators and C^*-Algebras: Theory and Numerical Practice
Topological Insulators C^*-Algebras Theory Numerical Practice
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2011/3/2
We apply ideas from C-algebra to the study of disordered topological insulators.We extract certain almost commuting matrices from the free Fermi Hamiltonian,describing band projected coordinate matri...
Lie-Hopf algebras and their Hopf cyclic cohomology
Lie-Hopf algebras Hopf cyclic cohomology
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2011/2/24
The correspondence between Lie algebras, Lie groups, and alge-braic groups, on one side and commutative Hopf algebras on the other side are known for a long time by works of Hochschild-Mostow and othe...
Bounds for Hochschild cohomology of block algebras
Hochschild cohomology block algebras
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2011/2/21
We show that for any block algebra B of a finite group over an algebraically closed field
of prime characteristic p the dimension of HHn(B) is bounded by a function depending only
on the nonnegative...
Families of finite-dimensional Hopf algebras with the Chevalley property
Families of finite-dimensional Hopf algebras Chevalley property
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2011/1/17
We introduce and study families of finite-dimensional Hopf algebras with the Chevalley property arising as twistings of quantum linear spaces. These Hopf algebras generalize the examples introduced in...
Topological properties of regular generalized function algebras
Topological properties regular generalized function algebras
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2010/11/15
We investigate density of various subalgebras of regular generalized functions in the special Colombeau algebra of generalized functions
A Geometric Construction of Cyclic Cocycles on Twisted Convolution Algebras
Geometric Construction Cyclic Cocycles Twisted Convolution Algebras
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2010/12/14
The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned disci...
Tensor products of homotopy Gerstenhaber algebras
products homotopy Gerstenhaber algebras
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2010/11/30
On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor produc...