Symplectic structures on moduli spaces of sheaves via the Atiyah class

[1]  A. Kuznetsov.  Homological projective duality for Grassmannians of lines , 2006, math/0610957.

[2]  L. Manivel,et al.  Cubic hypersurfaces and integrable systems , 2006, math/0605260.

[3]  M. Inaba,et al.  Moduli of Stable Parabolic Connections, Riemann-Hilbert Correspondence and Geometry of Painlev\'{e} Equation of Type VI, Part II , 2003, math/0309342.

[4]  Daniel Huybrechts,et al.  Fourier-Mukai transforms in algebraic geometry , 2006 .

[5]  Richard P. Thomas,et al.  ℙ-objects and autoequivalences of derived categories , 2005, math/0507040.

[6]  A. J. Jong,et al.  Cubic fourfolds and spaces of rational curves , 2004 .

[7]  R. Buchweitz,et al.  A Semiregularity Map for Modules and Applications to Deformations , 1999, Compositio Mathematica.

[8]  F. Bottacin.  Poisson structures on moduli spaces¶of parabolic bundles on surfaces , 2000 .

[9]  I. Roditi.  Integrable systems and quantum groups , 2000 .

[10]  A. Beauville.  Vector bundles on the cubic threefold , 2000, math/0005017.

[11]  St'ephane Druel.  Espace des modules des faisceaux semi-stables de rang 2 et de classes de Chern $c_{1}=0$, $c_{2}=2$ et $c_{3}=0$ sur une hypersurface cubique lisse de $\mathbb{P}^{4}$ , 2000, math/0002058.

[12]  D. Markushevich,et al.  The Abel-Jacobi map for cubic threefold and periods of Fano threefolds of degree $14$ , 1999, Documenta Mathematica.

[13]  St'ephane Druel.  Espace des modules des faisceaux de rang 2 semi-stables de classes de Chern c1 ? 0 , 2000 .

[14]  R. Buchweitz,et al.  The Atiyah-Chern Character yields the Semiregularity Map as well as the Infinitesimal Abel-Jacobi Map , 2000 .

[15]  A. Tikhomirov,et al.  SYMPLECTIC STRUCTURE ON A MODULI SPACE OF SHEAVES ON THE CUBIC FOURFOLD , 1999, math/9910063.

[16]  A. Beauville.  Determinantal hypersurfaces , 1999, math/9910030.

[17]  A. Tikhomirov,et al.  The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold , 1998, math/9809140.

[18]  K. O’Grady.  Desingularized moduli spaces of sheaves on a K3, I , 1997, alg-geom/9708009.

[19]  D. Huybrechts,et al.  The geometry of moduli spaces of sheaves , 1997 .

[20]  R. Donagi,et al.  Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles , 1995, alg-geom/9507017.

[21]  J. Verdier,et al.  Des catégories dérivées des catégories abéliennes , 1996 .

[22]  F. Bottacin.  Poisson structures on moduli spaces of sheaves over Poisson surfaces , 1995 .

[23]  J. L. Poiier.  Vector Bundles in Algebraic Geometry: Faisceaux semi-stables et systemes coherents , 1995 .

[24]  P. Newstead,et al.  Vector bundles in algebraic geometry : Durham, 1993 , 1995 .

[25]  F. Bottacin.  Symplectic geometry on moduli spaces of stable pairs , 1995 .

[26]  Carlos Simpson,et al.  Moduli of representations of the fundamental group of a smooth projective variety I , 1994 .

[27]  I. Biswas,et al.  An Infinitesimal Study of the Moduli of Hitchin Pairs , 1994 .

[28]  R. Donagi.  Spectral Covers , 1995, alg-geom/9505009.

[29]  K. O’Grady.  Algebro-geometric analogues of Donaldson's polynomials , 1992 .

[30]  H. Nakajima,et al.  Yang-Mills instantons on ALE gravitational instantons , 1990 .

[31]  A. Bondal,et al.  REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES , 1990 .

[32]  A. Tyurin.  SYMPLECTIC STRUCTURES ON THE VARIETIES OF MODULI OF VECTOR BUNDLES ON ALGEBRAIC SURFACES WITH pg > 0 , 1989 .

[33]  M. Lejeune-jalabert,et al.  Calcul différentiel et classes caractéristiques en géométrie algébrique , 1989 .

[34]  I. V. Artamkin.  On the deformation of sheaves , 1989 .

[35]  N. Hitchin.  Stable bundles and integrable systems , 1987 .

[36]  A. Rudakov,et al.  Exceptional vector bundles on projective spaces , 1987 .

[37]  Shôshichi Kobayashi.  Simple vector bundles over symplectic Kähler manifolds , 1986 .

[38]  Klaus Hulek,et al.  Projective geometry of elliptic curves , 1986 .

[39]  S. Mukai.  Symplectic structure of the moduli space of sheaves on an abelian or K3 surface , 1984 .

[40]  Raoul Bott,et al.  The Yang-Mills equations over Riemann surfaces , 1983, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[41]  P. Newstead.  VECTOR BUNDLES ON COMPLEX PROJECTIVE SPACES (Progress in Mathematics, Vol. 3) , 1981 .

[42]  G. E. Welters.  Abel-Jacobi isogenies for certain types of fano threefolds , 1981 .

[43]  S. Kleiman,et al.  Compactifying the Picard scheme , 1980 .

[44]  C. Okonek,et al.  Vector bundles on complex projective spaces , 1980 .

[45]  A. Beilinson.  Coherent sheaves on Pn and problems of linear algebra , 1978 .

[46]  H. Popp.  Classification of algebraic varieties and compact complex manifolds , 1974 .

[47]  J. Murre.  Some results on cubic threefolds , 1974 .

[48]  P. Griffiths,et al.  The intermediate Jacobian of the cubic threefold , 1972 .

[49]  L. Illusie.  Complexe cotangent et déformations II , 1971 .

[50]  A. Grothendieck,et al.  Th'eorie des intersections et th'eor`eme de Riemann-Roch , 1971 .

[51]  P. Griffiths.  PERIODS OF INTEGRALS ON ALGEBRAIC MANIFOLDS, II , 2010 .

[52]  R. Hartshorne.  Residues And Duality , 1966 .

[53]  Alexander Grothendieck,et al.  La théorie des classes de Chern , 1958 .

[54]  M. Atiyah.  Complex analytic connections in fibre bundles , 1957 .