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Let g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W . We construct a one parameter family of flat connections ∇κ on h with values in any finite–dimensional g–moduleV...
Monodromy of triple point line arrangements     line arrangement  Milnor fiber  monodromy       font style='font-size:12px;'> 2011/9/2
Abstract: We show that the monodromy operator action on the first cohomology group of the Milnor fiber is combinatorially determined for line arrangements with at most triple points and containing at ...
The monodromy matrix in the F-basis for arbitrary six-vertex models     Six-Vertex Model  F-Basis  Monodromy Matrix       font style='font-size:12px;'> 2011/7/25
Abstract: We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unitarity and ...
A necessary and sufficient condition for the triviality of the Milnor monodromy of a central hyperplane arrangement is given. This is a consequence of a Thom-Sebastiani type result, where the sum of h...
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...
The higher order Painleve system of type D^{(1)}_{2n+2} is proposed by Y. Sasano. It is an extension of the sixth Painleve equation for the affine Weyl group symmetry and expressed as a Hamiltonian sy...
Jumps and monodromy of abelian varieties      Jumps  monodromy of abelian varieties        font style='font-size:12px;'> 2010/12/9
We prove a strong form of the motivic monodromy conjecture for abelian varieties, by showing that the order of the unique pole of the motivic zeta function is equal to the size of the maximal Jordan b...
Early in 1904, Hadamard [1] showed the scale implicit function theorem of finite dimensions. Then it was generalized to infinite dimensions. In this paper a new proof of this theorem is given and the ...
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are consider...
An Application of Monodromy Groupoid     Monodromy Groupoid  Mucuk       font style='font-size:12px;'> 2010/3/5
The monodromy groupoid was first inlioduced by Pradines in [7] and developed by Mucuk in [6] In this paper we give an application of the monodromy groupoid.

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