搜索结果: 1-11 共查到“数理逻辑与数学基础 invariants”相关记录11条 . 查询时间(0.044 秒)
M-theory, the signature theorem, and geometric invariants
M-theory the signature theorem geometric invariants
2011/3/2
The equations of motion and the Bianchi identity of the C-field in M-theory are encoded in terms of the signature operator.
Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariate Polynomials. III. $E_8$ case
Sutherland-type Trigonometric Models Trigonometric Invariants Multivariate Polynomials
2011/1/19
It is shown that the E8 trigonometric Olshanetsky-Perelomov Hamiltonian, when written in
terms of the Fundamental Trigonometric Invariants (FTI), is in algebraic form, i.e., has polynomial coefficien...
Separating invariants for the basic G_a-actions
Separating invariants the basic G_a-actions
2010/11/15
We explicitly construct a finite set of separating invariants for the basic $\Ga$-actions. These are the finite dimensional indecomposable rational linear representations of the additive group $\Ga$ ...
A conjecture on Iterated Integrals and application to higher order invariants
Iterated Integrals order invariants
2010/11/19
We formulate the conjecture that the restriction morphism from free closed iterated integrals to closed iterated integrals on loops is onto. We show that, given the conjecture holds, the module of hig...
Phylogenetic invariants for group-based models
Phylogenetic invariants group-based models
2010/11/19
In this paper we investigate properties of algebraic varieties representing group-based phylogenetic models. We give the (first) example of a nonnormal general group-based model for an abelian group....
We introduce the concept of `claspers,' which are surfaces in 3-manifolds with some additional structure on which surgery operations can be performed. Using claspers we define for each positive integ...
Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
Differential invariants curved Bernstein-Gelfand-Gelfand sequences
2010/11/1
We give a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold equipped with a parabolic geometry. This method permits us to define the addit...
The automorphism group of the Barnes-Wall lattice L_m in dimension 2^m (m not 3) is a subgroup of index 2 in a certain ``Clifford group'' C_m (an extraspecial group of order 2^(1+2m) extended by an or...
Frobenius_infinity invariants of homotopy Gerstenhaber algebras I
Frobenius_infinity invariants homotopy Gerstenhaber algebras
2010/10/29
We construct a functor from the derived category of homotopy Gerstenhaber algebras with finite-dimensional cohomology to the purely geometric category of so-called $F_{\infty}$-manifolds. The latter ...
Transversality theory, cobordisms, and invariants of symplectic quotients
Transversality theory cobordisms invariants symplectic quotients
2010/10/29
This paper gives methods for understanding invariants of symplectic quotients. The symplectic quotients considered here are compact symplectic manifolds (or more generally orbifolds), which arise as t...
LINEAR TOPOLOGIC INVARIANTS AND THEIR APPLICATIONS TO ISOMORPHIC CLASSIFICATION OF GENERALIZED POWER SPACES
LINEAR TOPOLOGIC INVARIANTS ISOMORPHIC CLASSIFICATION GENERALIZED POWER SPACES
2010/3/17
In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is rea...