Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves

Francesco Bottacin

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 121, page 165-177
  • ISSN: 0041-8994

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Bottacin, Francesco. "Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves." Rendiconti del Seminario Matematico della Università di Padova 121 (2009): 165-177. <http://eudml.org/doc/108754>.

@article{Bottacin2009,
author = {Bottacin, Francesco},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {165-177},
publisher = {Seminario Matematico of the University of Padua},
title = {Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves},
url = {http://eudml.org/doc/108754},
volume = {121},
year = {2009},
}

TY - JOUR
AU - Bottacin, Francesco
TI - Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 121
SP - 165
EP - 177
LA - eng
UR - http://eudml.org/doc/108754
ER -

References

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  3. [B1] F. BOTTACIN, Poisson structures on moduli spaces of sheaves over Poisson surfaces, Invent. Math., 121 (1995), pp. 421-436. Zbl0829.14019MR1346215
  4. [B2] F. BOTTACIN, Poisson structures on Hilbert schemes of points of a surface and integrable systems, Manuscripta Math., 97 (1998), pp. 517-527. Zbl0945.53049MR1660136
  5. [B3] F. BOTTACIN, Closed differential forms on moduli spaces of sheaves, Rend. Mat. Univ. Roma, 28 (2008), pp. 1-24. Zbl1158.14312MR2463935
  6. [EGA4] A. GROTHENDIECK, Étude locale des schémas et des morphismes de schémas, Publ. Math. IHES, 1964-67. Zbl0135.39701
  7. [HL] D. HUYBRECHTS - M. LEHN, The geometry of moduli spaces of sheaves, Aspects of Mathematics, Vol. E31, Vieweg, 1997. Zbl0872.14002MR1450870
  8. [K] S. KOBAYASHI, Simple vector bundles over symplectic Kähler manifolds, Proc. Japan Acad., 62 (1986), pp. 21-24. Zbl0602.53044MR839798
  9. [KM] S. KUZNETSOV - D. MARKUSHEVICH, Symplectic structures on moduli spaces of sheaves via the Atiyah class, math.AG/0703264 (2007). Zbl1181.14049
  10. [Ma] M. MARUYAMA, Moduli of stable sheaves II, J. Math. Kyoto Univ., 18 (1978), pp. 557-614. Zbl0395.14006MR509499
  11. [Mu1] S. MUKAI, Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent. Math., 77 (1984), pp. 101-116. Zbl0565.14002MR751133
  12. [Mu2] S. MUKAI, Moduli of vector bundles on K3 surfaces and symplectic manifolds, Sugaku Expositions, 1 (1988), pp. 139-174. Zbl0685.14021MR922020
  13. [R] Z. RAN, On the local geometry of moduli spaces of locally free sheaves, Moduli of vector bundles (Sanda, 1994; Kyoto, 1994), pp. 213-219, Lecture Notes in Pure and Appl. Math., 179 (Dekker, New York, 1996). Zbl0884.14005MR1397990
  14. [S] C. SIMPSON, Moduli of representations of the fundamental group of a smooth projective variety I, Publ. Math. I.H.E.S., 79 (1994), pp. 47-129. Zbl0891.14005MR1307297
  15. [Ty] A. N. TYURIN, Symplectic structures on the varieties of moduli of vector bundles on algebraic surfaces with pg &gt; 0, Math. USSR Izvestiya, 33 (1989), pp. 139-177. Zbl0673.14021MR966986

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