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MONODROMY OF PARTIAL KZ FUNCTORS FOR RATIONAL CHEREDNIK ALGEBRAS
"... 1.1. Shan has proved that the categories Oc(Wn) for rational Cherednik algebras of type Wn = W (G(ℓ, 1, n)) = Sn⋉(µℓ) n with n varying, together with decompositions of the parabolic induction and restriction functors of BezrukavnikovEtingof, provide a categorification of an integrable ˜ sle Fock s ..."
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Cited by 1 (0 self)
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space representation F(m), [18]. The parameters m ∈ Zℓ and e ∈ N ∪ {∞} arise from the
Autoequivalences of derived categories of a K3 surface and monodromy transformations
 J. Algebraic Geom
"... Abstract. We consider autoequivalences of the bounded derived category of coherent sheaves on a K3 surface. We prove surjectivity of a map from the autoequivalences to the Hodge isometries of the Mukai lattice. Motivated by homological mirror symmetry we also consider the mirror counterpart, i.e. sy ..."
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Cited by 22 (6 self)
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.e. symplectic version of the surjectivity. In the case of ρ(X) = 1, we find an explicit formula which reproduces the number of FourierMukai (FM) partners from the monodromy problem of the mirror K3 family. Table of Contents
On a Poisson structure on the space of Stokes matrices
 Internat. Math. Res. Notices 1999
"... Abstract: In this paper we study the map associating to a linear differential operator with rational coefficients its monodromy data. The operator is of the form Λ(z) = d V dz − U − z, with one regular and one irregular singularity of Poincaré rank 1, where U is a diagonal and V is a skewsymmetric ..."
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Cited by 19 (0 self)
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n × n matrix. We compute the Poisson structure of the corresponding Monodromy Preserving Deformation Equations (MPDE) on the space of the monodromy data. Preprint SISSA 120/98/FM Monodromy preserving deformation equations (MPDE) of linear differential operators with rational coefficients are known
Fourier–Mukai transform and mirror symmetry for D–branes on elliptic CalabiYau
, 2000
"... Fibrewise Tduality (FourierMukai transform) for Dbranes on an elliptic CalabiYau threefold X is seen to have an expected adiabatic form for its induced cohomology operation only when an appropriately twisted operation resp. twisted charge is defined. Some differences with the case of K3 as well ..."
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Cited by 26 (7 self)
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models. Interpreting this association as a relation between FM transforms and monodromies, we express the fibrewise FM transform through known monodromies. The operation of fibrewise duality as well as the notion of a certain index relevant to the computation of the moduli space of the bundle
Fibrewise Tduality for Dbranes on elliptic CalabiYau
 J. High Energy Phys
"... Fibrewise Tduality (FourierMukai transform) for Dbranes on an elliptic CalabiYau X is shown to require naturally an appropriate twisting of the operation respectively a twisted charge. The fibrewise Tduality is furthermore expressed through known monodromies in the context of Kontsevich’s inter ..."
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Cited by 10 (2 self)
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Fibrewise Tduality (FourierMukai transform) for Dbranes on an elliptic CalabiYau X is shown to require naturally an appropriate twisting of the operation respectively a twisted charge. The fibrewise Tduality is furthermore expressed through known monodromies in the context of Kontsevich’s
Contents
, 2008
"... In this paper, we show that the generalized hypergeometric function mFm−1 has a one parameter group of local symmetries, which is a conjugation of a flow of a rational CalogeroMozer system. We use the symmetry to construct fermionic fields on a complex torus, which have linearalgebraic properties ..."
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In this paper, we show that the generalized hypergeometric function mFm−1 has a one parameter group of local symmetries, which is a conjugation of a flow of a rational CalogeroMozer system. We use the symmetry to construct fermionic fields on a complex torus, which have linearalgebraic properties
Oleg Gleizer
, 2006
"... In this paper, we show that the generalized hypergeometric function mFm−1 has a one parameter group of symmetries: the flow of a special case of the rational CalogeroMozer system. We use the symmetry to construct fermionic fields on a complex torus, which have linearalgebraic properties similar to ..."
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In this paper, we show that the generalized hypergeometric function mFm−1 has a one parameter group of symmetries: the flow of a special case of the rational CalogeroMozer system. We use the symmetry to construct fermionic fields on a complex torus, which have linearalgebraic properties similar
Oleg Gleizer
, 2006
"... In this paper, we show that the generalized hypergeometric function mFm−1 has a one parameter group of local symmetries, which is a conjugation of a flow of a rational CalogeroMozer system. We use the symmetry to construct fermionic fields on a complex torus, which have linearalgebraic properties ..."
Abstract
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In this paper, we show that the generalized hypergeometric function mFm−1 has a one parameter group of local symmetries, which is a conjugation of a flow of a rational CalogeroMozer system. We use the symmetry to construct fermionic fields on a complex torus, which have linearalgebraic properties
A MEMO ON \A CANONICAL BUNDLE
"... Section 3 in [FM] follows from the observations below. I think that this argument is slightly better than the original one. 1. Throughout this note, we consider the ber space f: X! C such that C is a curve, X is smooth, pg(F) = 1 and (F) = 0, where F is the generic ber of f with m = dim F. 2. For ..."
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divides N. We note that LssX=C = L ss X0=C0 for any nite morphism , where X 0 is a resolution of X C C 0 (cf. [FM, Corollary 2.5 (ii)]). By the theory of the canonical extensions of Hodge bundles, we will prove that LssX0=C0 = xLX0=C0y by the unipotency of the monodromy in 6 below. In particular, LssX0=C0
A Brief Survey On The Algebraic Solutions Of A Particular Case Of The Painleve' Vi Equation
"... . I present here a brief resume, without proofs, of the print "Monodromy of certain Painlev'e VI transcendents and reflection groups", written by Prof. Boris Dubrovin and myself (SISSA preprint n. 149=97=FM ). In this paper, we study the global analytic properties of the solutions of ..."
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. I present here a brief resume, without proofs, of the print "Monodromy of certain Painlev'e VI transcendents and reflection groups", written by Prof. Boris Dubrovin and myself (SISSA preprint n. 149=97=FM ). In this paper, we study the global analytic properties of the solutions
Results 1  10
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