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Using homological duality in consecutive pattern avoidance
pattern avoidance exponential generating function linear differential equations
2010/12/14
Using the approach suggested in [2] we present below a sufficient condition guaranteeing
that two collections of patterns of permutations have the same exponential generating functions for the number...
Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Cohomological finiteness properties Brin-Thompson-Higman groups 2V 3V
2010/12/10
We show that Brin’s generalisations 2V and 3V of the Thompson-Higman group V are of type FP1. Our methods also give a new proof that both groups are finitely presented.
Remarks on Non-Abelian Cohomology of Proalgebraic Groups
Non-Abelian Cohomology Proalgebraic Groups
2010/12/8
In this note, we present a version of Kim’s non-abelian cohomology [4] which appears to be well suited to computations with motivic Galois groups. Whereas Kim considers extensions of a profinite group...
We consider an irreducible Anosov automorphism L of a torus Td such that no three eigenvalues have the same modulus. We show that L is locally rigid, that is, L is C1+H¨older conjugate to any C1-small...
Joint Channel Probing and Proportional Fair Scheduling in Wireless Networks
Joint Channel Probing Proportional Fair Scheduling Wireless Networks
2010/12/6
The design of a scheduling scheme is crucial for the efficiency and user-fairness of wireless
networks. Assuming that the quality of all user channels is available to a central controller, a simple s...
On the Semisimplicty of the Action of the Frobenius on Etale Cohomology
Algebraic Topological K Theory l-adic Completion of Spectra
2010/11/29
I give a proof of the semisimplicity of the action of the geometric frobenius on etale cohomology. The proof is based on [MGM10] and on the Weil Conjectures, ie on the Riemann Hypothesis for non singu...
Relative homological algebra in categories of representations of infinite quivers
cover envelope torsion free flat representations of a quiver
2010/11/26
In the first part of this paper, we prove the existence of torsion
free covers in the category of representations of quivers, (Q,R-Mod),for a wide class of quivers included in the class of the so-cal...
A Topological Degree Counting for some Liouville Systems of Mean Field Equations
Topological Degree some Liouville Systems of Mean Field Equations
2010/11/26
Let A = (aij)n×n be an invertible matrix and A−1 =(aij )n×n be the inverse of A. In this paper.
On Bredon (Co-)Homological Dimensions of Groups
Bredon (Co-)Homological Dimensions Groups
2010/12/10
The objects of interest in this thesis are classifying spaces EFG for discrete groups G with stabilisers in a given family F of subgroups of G. The main focus of this thesis lies in the family Fvc(G) ...
We investigate how Viro’s integral calculus applies for the study of the topology of stable maps. We also discuss several applications to Morin maps and complex maps.
Notes on Cohomology
2010/12/3
Galois cohomology is a fundamental tool for the classification of certain algebraic structures. To be precise, let k be a field, G a linear algebraic group acting on a space V , both defined over k. I...
A Splitting Theorem for Local Cohomology and its Applications
Local cohomology split exact sequence generalized Cohen-Macaulay module
2010/12/8
Let R be a commutative Noetherian ring and M a finitely generated R-module. We show in this paper that.
The equivariant cohomology of isotropy actions on symmetric spaces
equivariant cohomology of isotropy actions symmetric spaces
2010/12/9
We show that for every symmetric space G=K of compact type with K connected, the K-action on G=K by left translations is equivariantly formal.
Chen-Ruan cohomology of some moduli spaces, II
Chen–Ruan cohomology Riemann surface stable bundle moduli space
2010/12/9
Let X be a compact connected Riemann surface of genus at least two. Let r be a prime number and −→ X a holomorphic line bundle such that r is not a divisor of degree(). LetM(r) denote the mo...
Delay-Guaranteed Cross-Layer Scheduling in Multi-Hop Wireless Networks
Delay-Guaranteed Cross-Layer Scheduling Multi-Hop Wireless Networks
2010/12/13
In this paper, we propose a cross-layer scheduling algorithm that achieves a throughput “ǫ-close” to the optimal throughput in multi-hop wireless networks with a tradeoff of
O( 1 ǫ ) in del...