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A SHORT PROOF OF THE CONJECTURE WITHOUT GROMOV-WITTEN THEORY: HURWITZ THEORY AND THE MODULI OF CURVES
HURWITZ THEORY THE MODULI OF CURVES
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
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...
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...
On a conjecture of G. Malle and G. Navarro on nilpotent blocks
conjecture G. Malle G. Navarro nilpotent blocks
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
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...
Rigidity of Graph Joins and Hendrickson's Conjecture
Graph Joins Hendrickson's Conjecture
2010/11/19
Whiteley gives a complete characterization of the infinitesimal flexes of complete bipartite frameworks. Our work generalizes a specific infinitesimal flex to include joined graphs, a family of graphs...
The word problem and the Aharoni-Berger-Ziv conjecture on the connectivity of independence complexes
Graphs independence complexes topological connectivity algorithm
2010/12/9
For each finite simple graph G, Aharoni, Berger and Ziv consider a recur-sively defined number (G) 2 Z [ {+1} which gives a lower bound for the topological connectivity of the independence complex IG...
We study the connection between the condition that the reduced C*-algebra of a finitely presented group is exact and the Novikov conjecture holding. The main result states that if the group is strong...
The Weinstein conjecture in the uniruled manifolds
The Weinstein conjecture uniruled manifolds
2010/11/1
In this note we prove the Weinstein conjecture for a class of symplectic manifolds including the uniruled manifolds based on Liu-Tian's result