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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fairness Criteria for Allocating Indivisible Chores: Connections and Efficiencies
分配 不可分割杂务 公平标准
2023/4/14
We study several fairness notions in allocating indivisible chores (i.e., items with non-positive utilities) to agents, who have additive and submodular cost functions. The fairness criteria we are co...
GALOIS CONNECTIONS FOR INCIDENCE HOPF ALGEBRAS OF PARTIALLY ORDERED SETS.
Incidence Hopf algebras Galois connections
2015/8/14
An important well-known result of Rota describes the relationship between the M¨obius
functions of two posets related by a Galois connection. We present an analogous result relating
the antipodes of...
UNIVERSAL POISSON AND NORMAL LIMIT THEOREMS IN GRAPH COLORING PROBLEMS WITH CONNECTIONS TO EXTREMAL COMBINATORICS
Limit theorem the monochromatic edge evenly random colors random graph
2015/7/7
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
Making connections to the big ideas in mathematics: Promoting proportional reasoning
big ideas mathematics
2015/5/29
The focus of this paper is on
proportional reasoning, emphasising
its pervasiveness throughout the
mathematics curriculum, but also
highlighting its elusiveness.
Invariant tensors related with natural connections for a class Riemannian product manifolds
Invariant tensors natural connections class Riemannian product manifolds Differential Geometry
2012/6/29
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
An obstructions to Non-negative curvature on Bundles with Pull-back connections
nonegative sectional curvature riemannian submersions exotic spheres
2012/6/30
Motivated to study the geometry of the exotic spheres constructed in [5], we derive a necessary condition for non-negative sectional curvature in certain total spaces of Riemannian submersions with to...
Adapted connections on metric contact manifolds
Adapted connections metric contact manifolds Differential Geometry
2012/4/16
In this paper, we describe the space of adapted connections on a metric contact manifold through the space of their torsion tensors. The torsion tensor is an element of the space of TM-valued two-form...
Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres
Yang-Mills connections of cohomogeneity one SO(n)-bundles Euclidean spheres Differential Geometry
2011/9/23
Abstract: We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation ...
On invariants of almost symplectic connections
almost symplectic linear connection torsion quadratic invariant
2011/8/31
Abstract: We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-...
Foliations on the moduli space of rank two connections on the projective line minus four points
Painlev´ e VI Representation Fundamental group Logarithmic connection
2011/2/21
We look at natural foliations on the Painlev´e VI moduli space of regular connections of rank 2 on P1−{t1, t2, t3, t4}. These foliations are fibrations,and are interpreted in terms of the ...
We shall prove that a moduli space of flat irreducible Lie algebroid connections over a compact
manifold has locally a natural structure of a smooth differentiable space. This is a generaliza-tion of...
In [4] we defined a notion of parallel transport along superpaths in a supermanifold coming from a vector bundle with connection over the supermanifold. In this note, we show that the converse is also...
A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections
Kohno-Drinfeld theorem cyclotomic KZ connections
2010/11/23
We compute explicitly the monodromy representations of "cyclotomic" analogs of the Knizhnik--Zamolodchikov differential system. These are representations of the type B braid group $B_n^1$. We show ho...
Lawson's genus two minimal surface and meromorphic connections
Lawson's genus two minimal surface meromorphic connections
2010/12/14
We investigate the Lawson genus 2 surface by methods from integrable system theory. We prove that the associated family of flat connections comes from a family of flat connections on a 4−punctur...
Kuranishi Spaces of Meromorphic Connections
connections deformations hypercohomology Kuranishi spaces obstructions
2010/12/3
We construct the Kuranishi spaces, or in other words, the versal deformations, for the following classes of connections with fixed divisor of poles D:all such connections, as well as for its subclasse...