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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computations in equivariant algebraic topology
等变 代数拓扑 计算
2023/5/17
Modern algebraic topology sees equivariance arising in unexpected context. Equivariant cohomology carries rich structures but is much harder to compute. In 2009, Hill, Hopkins, and Ravenel solved the ...
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...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
Schur multiplier Homotopy group Homology group
2011/2/21
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
On the topology of semi-algebraic functions on closed semi-algebraic sets
topology of semi-algebraic functions closed semi-algebraic sets
2011/1/20
We consider a closed semi-algebraic set X Rn and a C2 semi-algebraic function f : Rn ! R such that f|X has a finite number of critical points. We relate the topology of X to the topology of the sets...
A covariant functor from fibrations over the circle to a family of AF-algebras is constructed; the functor takes continuous maps be-tween such fibrations to stable homomorphisms of the AF-algebras.We ...
Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
Homoclinic orbit bifurcation Differential Galois theory Melnikov method
2010/11/30
We study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of four-dimensional systems which may be Hamil-tonian or not. Only one parameter is enough to treat these types of...
AGT is a fully refereed journal covering all of topology, understood broadly. AGT is published in free electronic format by Geometry & Topology Publications, with papers appearing a few days after acc...
Determining the Topology of Real Algebraic Surfaces
Determining Topology Real Algebraic Surfaces
2013/9/9
An algorithm is proposed to determine the topology of an implicit real algebraic surface inR3. The algorithm consists of three steps:surface projection,projection curve topology determination and surf...