Donaldson Type Invariants for Algebraic Surfaces

Released on by Takuro Mochizuki
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  • Donaldson Type Invariants for Algebraic Surfaces Book Detail

  • Author : Takuro Mochizuki
  • Release Date : 2009-03-26
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 404
  • ISBN 13 : 3540939121
  • File Size : 86,86 MB
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Donaldson Type Invariants for Algebraic Surfaces by Takuro Mochizuki PDF Summary

Book Description: 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!

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The Topological Dynamics of Ellis Actions

The Topological Dynamics of Ellis Actions

File Size : 3,3 MB
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An Ellis semigroup is a compact space with a semigroup multiplication which is continuous in only one variable. An Ellis action is an action of an Ellis semigro