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A New Extension of Hilbert-type Integral Inequality with Two Pairs of Conjugate Exponents
mathematical analysis Hilbert's type integral inequality conjugate exponent Holder inequality equivalent form
2011/9/29
In the paper, by introducing two pairs of conjugate exponents(p，q) and (r，s), we establish a new generalizations of the Hilbert-type ineqaulity with a best constant. As application, the reverse and it...
非紧空间上的连续函数空间
拓扑 连续函数 非紧空间 Hausdorff 拓扑 吸收子
2011/9/29
对一个度量空间(X, d), 设↓C(X)是从 X 到 I=[0, 1]的连续函数下方图形全体之集赋予由度量空间 X×I 上的 Hausdorff 度量诱导出的拓扑. 如果(X, d) 是紧的, 则↓C(X) 的拓扑结构已经清楚. 本文证明了下面的结果：如果(X, d) 是一个非紧的, 局部紧的,可分的, 其完备化是紧的度量空间, 则↓C(X) 同胚于c0当且仅当 X上的孤立点全体之集在X中不稠密...
On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
Finiteness of nonzero degree maps between three-manifolds
Finiteness of nonzero degree maps three-manifolds Geometric Topology
2011/9/22
Abstract: In this paper, we prove that every orientable closed 3-manifold dominates at most finitely many homeomorphically distinct irreducible non-geometric 3-manifolds. Moreover, for any integer $d>...
Formal plethories
plethory unstable cohomology operations two-monoidal category formal algebra scheme biring
2011/9/22
Abstract: Unstable operations in a generalized cohomology theory E give rise to a functor from the category of algebras over E to itself which is a colimit of representable functors and a comonoid wit...
Abstract: We consider sequences of absolute and relative homology and cohomology groups that arise naturally for a filtered cell complex. We establish algebraic relationships between their persistence...
Abstract: Heegaard Floer theory is a kind of topological quantum field theory, assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented 4-dimensio...
Systole et rayon maximal des variétés hyperboliques non compactes
Hyperbolic Manifolds Cusps Systole and Inradius
2011/9/23
Abstract: We bound two global invariants of cusped hyperbolic manifolds: the length of the shortest closed geodesic (the systole), and the radius of the biggest embedded ball (the inradius). We give a...
Twisted Lefschetz number and Nielsen number
Lefschetz number Nielsen number Algebraic Topology
2011/9/21
Abstract: We study the twisted Lefschetz number, which is a generalization of classical Lefschetz number. A formula in terms of homology with local coefficients is given. We then propose a method to e...
On the Associativity of Gluing
Morse theory negative gradient trajectories associativity of gluing compactified Moduli spaces manifold with faces
2011/9/22
Abstract: This paper studies the associativity of gluing of trajectories in Morse theory. We show that the associativity of gluing follows from of the existence of compatible manifold with face struct...
A Nielsen theory for coincidences of iterates
Nielsen theory coincidences of iterates Algebraic Topology
2011/9/22
Abstract: As the title suggests, this paper gives a Nielsen theory of coincidences of iterates of two self maps f, g of a closed manifold. The ideas is, as much as possible, to generalize Nielsen type...
On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials
Kauffman polynomial HOMFLY-PT polynomia Geometric Topology
2011/9/21
Abstract: This paper consists of three parts. First, we generalize the Jaeger Formula to express the Kauffman-Vogel graph polynomial as a state sum of the Murakami-Ohtsuki-Yamada graph polynomial.
Covolumes of nonuniform lattices in PU(n, 1)
Covolumes of nonuniform lattices Geometric Topology
2011/9/21
Abstract: This paper studies the covolumes of nonuniform arithmetic lattices in PU(n, 1). We determine the smallest covolume nonuniform arithmetic lattices for each n, the number of minimal covolume l...
On overtwisted, right-veering open books
Contact surgery destabilizable diffeomorphisms Giroux’s correspondence open books overtwisted contact structures
2011/9/21
Abstract: We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda-Kazez-Matic. The page of all our...
Abstract: Let L \subset S^3 denote an alternating link and Sigma(L) its branched double-cover. We give a short proof of the fact that the fundamental group of Sigma(L) admits a left-ordering iff L is ...