搜索结果: 1-15 共查到“数理逻辑与数学基础 1/3-2/3 Conjecture”相关记录25条 . 查询时间(0.062 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel conjecture for the torus and the splitting of surgery sets
环面 Borel猜想 外科手术集 分裂
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2023/5/10
The Borel conjecture considers the obstruction from homotopy equivalence to homeomorphism for aspherical manifolds. The torus is the first computed case of Borel conjecture with the idea of splitting ...
THE PUZZLE CONJECTURE FOR THE COHOMOLOGY OF TWO-STEP FLAG MANIFOLDS
PUZZLE CONJECTURE TWO-STEP FLAG MANIFOLDS
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2015/12/17
We prove a conjecture of Knutson asserting that the Schubert
structure constants of the cohomology ring of a two-step flag variety are equal
to the number of puzzles with specified borde...
A Vaught’s conjecture toolbox
Vaught’s conjecture toolbox
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2015/9/25
A Vaught’s conjecture toolbox.
Three red herrings around Vaught's conjecture
Three red herrings Vaught's conjecture
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2015/9/25
We give a model theoretic proof that if there is a counterexample to Vaught’s conjecture there is a
counterexample such that every model of cardinality ℵ1 is maximal (strengthening a result of ...
A SHORT PROOF OF THE CONJECTURE WITHOUT GROMOV-WITTEN THEORY: HURWITZ THEORY AND THE MODULI OF CURVES
HURWITZ THEORY THE MODULI OF CURVES
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2015/7/14
I. P. GOULDEN, D. M. JACKSON AND R. VAKILConjecture. The
approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the \polynomiality" of Hurwitz numbers, from which we pick...
A SHORT PROOF OF THE CONJECTURE WITHOUT GROMOV-WITTEN THEORY: HURWITZ THEORY AND THE MODULI OF CURVES
HURWITZ THEORY THE MODULI OF CURVES
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2015/7/14
I. P. GOULDEN, D. M. JACKSON AND R. VAKILConjecture. The
approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the \polynomiality" of Hurwitz numbers, from which we pick...
Borel's Conjecture in Topological Groups
Rothberger bounded Borel Conjecture Kurepa Hypothesis Chang’s Conjecture n-huge cardinal
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2011/9/21
Abstract: We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number $\kappa$, let {\sf BC}$_{\kappa}$ denote this generalization. Then ${\sf BC}_{\aleph_0}$ is equ...
On a proof of the Labastida-Marino-Ooguri-Vafa conjecture
proof Labastida-Marino-Ooguri-Vafa conjecture
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2011/1/21
We outline a proof of a remarkable conjecture of Labastida-Mari32;no-Ooguri-Vafa about certain new algebraic structures of quantum link invariants and the integrality of infinite family of new topo...
Conley Conjecture for Negative Monotone Symplectic Manifolds
Conley Conjecture Negative Monotone Symplectic Manifolds
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2010/11/24
We prove the Conley conjecture for negative monotone, closed symplectic manifolds, i.e., the existence of infinitely many periodic orbits for Hamiltonian diffeomorphisms of such manifolds.
A note on Haynes-Hedetniemi-Slater Conjecture
Haynes-Hedetniemi-Slater Conjecture math
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2010/11/19
We notice that Haynes-Hedetniemi-Slater Conjecture is true (i.e. $\gamma(G) \leq \frac{\delta}{3\delta -1}n$ for every graph $G$ of size $n$ with minimum degree $\delta \geq 4$, where $\gamma(G)$ is t...
A short proof of Kontsevich cluster conjecture
Kontsevich cluster conjecture math
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2010/11/8
We give an elementary proof of the Kontsevich conjecture that asserts that the iterations of the noncommutative rational map K_r:(x,y)-->(xyx^{-1},(1+y^r)x^{-1}) are given by noncommutative Laurent po...
On cohomology of Witt vectors of algebraic integers and a conjecture of Hesselholt
Witt vectors algebraic integers conjecture of Hesselholt
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2010/11/19
Let $K$ be a complete discrete valued field of characteristic zero with residue field $k_K$ of characteristic $p > 0$. Let $L/K$ be a finite Galois extension with the Galois group $G$ and suppose tha...
An improved bound for the Manickam-Miklós-Singhi conjecture
the Manickam-Miklós-Singhi conjecture math
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2010/11/18
We show that for $n>k(4e\log k)^k$ every set $\{x_1,..., x_n\}$ of $n$ real numbers with $\sum_{i=0}^{n}x_i \geq 0$ has at least $\binom{n-1}{k-1}$ $k$-element subsets of a non-negative sum. This is ...
On a conjecture of G. Malle and G. Navarro on nilpotent blocks
conjecture G. Malle G. Navarro nilpotent blocks
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2010/11/18
In a recent article, G. Malle and G. Navarro conjectured that the $p$-blocks of a finite group all of whose height 0 characters have the same degree are exactly the nilpotent blocks defined by M. Bro...
A conjecture on Iterated Integrals and application to higher order invariants
Iterated Integrals order invariants
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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...