Publication: Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces
Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces
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Dürr, M., & Okonek, C. (2009). Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces. Advances in Geometry, 9(2), 219–231. https://doi.org/10.1515/ADVGEOM.2009.014
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In [Dürr, Kabanov, Okonek, Topology 46: 225–294, 2007] we constructed virtual fundamental classes for Hilbert schemes of divisors of topological type m on a surface V, and used these classes to define the Poincaré invariant of V: We conjecture that this invariant coincides with the full Seiberg–Witten invariant computed with respect to the canonical orientation data. In this note we prove that the existence of an integral curve C V induces relations between some of these virtual fundamental classes . The corresponding relations for th
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- Dürr, M
- Okonek, C
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Dürr, M., & Okonek, C. (2009). Relations for virtual fundamental classes of Hilbert schemes of curves on surfaces. Advances in Geometry, 9(2), 219–231. https://doi.org/10.1515/ADVGEOM.2009.014
