Donaldson Type Invariants for Algebraic Surfaces


  • Tytuł: Donaldson Type Invariants for Algebraic Surfaces
  • Autor: T. Mochizuki
  • Wydawnictwo: Springer Verlag
  • Data wydania: 2009
  • Słowa kluczowe:
  • Kategorie: matematyka / mathematics
  • ISBN: 978-3-540-93912-2
  • Opis: We are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface.We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for classical Donaldson invariants.Our goal is to obtain a weaker version of these relations, by systematically using the intrinsic smoothness of moduli spaces. According to the recent excellent work of L. Goettsche, H. Nakajima and K. Yoshioka, the wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case!

    • Kup książkę: Donaldson Type Invariants for Algebraic Surfaces


    Donaldson Type Invariants for Algebraic Surfaces - T. Mochizuki

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