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D.15.5 goettsche_lib
- Library:
- goettsche.lib
- Purpose:
- Drezet's formula for the Betti numbers of the moduli space
of Kronecker modules;
Goettsche's formula for the Betti numbers of the Hilbert scheme
of points on a surface;
Nakajima's and Yoshioka's formula for the Betti numbers
of the punctual Quot-schemes on a plane or, equivalently,
of the moduli spaces of the framed torsion-free planar sheaves;
Macdonald's formula for the symmetric product
- Author:
- Oleksandr Iena, o.g.yena@gmail.com
- References:
- [1] Drezet, Jean-Marc Cohomologie des varie'te's de modules de hauter nulle.
Mathematische Annalen: 281, 43-85, (1988).
[2] Goettsche, Lothar, The Betti numbers of the Hilbert scheme of points
on a smooth projective surface.
Mathematische Annalen: 286, 193-208, (1990).
[3] Macdonald, I. G., The Poincare polynomial of a symmetric product,
Mathematical proceedings of the Cambridge Philosophical Society:
58, 563-568, (1962).
[4] Nakajima, Hiraku; Lectures on instanton counting, CRM Proceedings and Lecture Notes,
Yoshioka, Kota Volume 88, 31-101, (2004).
Procedures:
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