Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations for virtual fundamental classes of Hilbert schemes of curves
  on surfaces   In [DKO] we constructed virtual fundamental classes $[[ Hilb^m_V ]]$ for
Hilbert schemes of divisors of topological type m on a surface V, and used
these classes to define the Poincare invariant of V:
  (P^+_V,P^-_V): H^2(V,Z) --> \Lambda^* H^1(V,Z) x \Lambda^* H^1(V,Z)
  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 $C \subset V$
induces relations between some of these virtual fundamental classes $[[Hilb^m_V
]]$. The corresponding relations for the Poincare invariant can be considered
as algebraic analoga of the fundamental relations obtained in [OS].

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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin