搜索结果: 1-15 共查到“拓扑学 C-Algebras”相关记录24条 . 查询时间(0.098 秒)
Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
Operadic formulation topological vertex algebras Gerstenhaber Batalin-Vilkovisky algebras
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
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
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
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
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
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
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...
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
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
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...
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
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
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
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
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...