360 citations · 1.6k across the 47 of their papers we have counts for
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math.AG2011★ 28 cited
Reduced classes and curve counting on surfaces II: calculations
M. Kool, R. P. Thomas
We calculate the stable pair theory of a projective surface . For fixed curve class the results are entirely topological, depending on , , $c_1(S)^2…
math.AG2011★ 78 cited
Reduced classes and curve counting on surfaces I: theory
M. Kool, R. P. Thomas
We develop a theory of \emph{reduced} Gromov-Witten and stable pair invariants of surfaces and their canonical bundles. We show that classical Severi degrees are special cases of t…
math.AG2011★ 46 cited
13/2 ways of counting curves
R. Pandharipande, R. P. Thomas
In the past 20 years, compactifications of the families of curves in algebraic varieties X have been studied via stable maps, Hilbert schemes, stable pairs, unramified maps, and st…