Recent papers of Lothar Göttsche

Hilbert schemes of points on surfaces

Authors: Lothar Göttsche
Published in: Proceedings of the ICM, Beijing 2002, vol 2, 483-494.
math.AG/0304302 [abs, src, ps, other]:

Orbifold cohomology for global quotients

Authors: Barbara Fantechi, Lothar Göttsche
Published in: Duke Math. J. 117 (2003), no. 2, 197--227.
math.AG/0104207 [abs, src, ps, other]:

On the motive of the Hilbert scheme of points on a surface

Authors: Lothar Göttsche
Published in: Math. Res. Lett. 8 (2001), no. 5-6, 613--627
math.AG/0007043 [abs, src, ps, other]:

On the cobordism class of the Hilbert scheme of a surface

Authors: Geir Ellingsrud, Lothar Göttsche, Manfred Lehn
Published in:J. Algebraic Geom. 10 (2001), no. 1, 81--100
math.AG/9904095 [abs, src, ps, other]:

Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces

Authors: Lothar Göttsche
Published in: Comm. Math. Physics 206, 105-136 (1999)
math.AG/9808007 [abs, src, ps, other]:

A conjectural generating function for numbers of curves on surfaces

Authors: Lothar Göttsche
Published in: Comm. Math. Physics 196, 523-533 (1998)
math.AG/9808007 [abs, src, ps, other]:

Euler number of the compactified Jacobian and multiplicity of rational curves

Authors: Barbara Fantechi, Lothar Göttsche, Duco van Straten
Published in: J. Alg. Geom. 8 (1999), 115-133
alg-geom/9708012 [abs, src, ps, other]:

Donaldsoninvarianten und Modulformen

Authors: Lothar Göttsche
Published in: Habilitationsschrift, Bonn, December 1996.

The quantum cohomology of blow-ups of P_2 and enumerative geometry

Authors: Lothar Göttsche, Rahul Pandharipande
Published in: Journ. Diff. Geom. Geom. 48 (1998), 61-90.
alg-geom/9611012 [abs, src, ps, other]:

Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b_+=1

Authors: Lothar Göttsche, Don Zagier
Published in: Selecta math., New ser. 4 (1998), 69-115.
alg-geom/9612020 [abs, ps]:

Modular forms and Donaldson invariants for 4-manifolds with b_+=1$

Authors: Lothar Göttsche
Published in: Journal of the AMS {\bf 9} (1996), 827-843.
alg-geom/9506018 [abs, src, ps, other]:

Wall-crossing formulas, Bott residue formula and the Donaldson invariants of rational surfaces

Authors: Geir Ellingsrud, Lothar Göttsche
Published in: Quarterly Journ. of Math. 49 (1998), 307-329
alg-geom/9506019 [abs, src, ps, other]:

Rationality of moduli spaces of torsion free sheaves over rational surfaces

Authors: Lothar Göttsche
Published in: Manuscripta math. 89 (1996),193-201.

Variation of moduli spaces and Donaldson invariants under change of polarization

Authors: Geir Ellingsrud, Lothar Göttsche
Published in: J. reine angew. Math. 467 (1995), 1-49.
alg-geom/9410005 [abs, src, ps, other]:

Hodge numbers of moduli spaces of stable bundles on K3 surfaces

Authors: Lothar Göttsche, Daniel Huybrechts
Published in: Intern. J. of Math. 7 (1996), 359-372.
alg-geom/9408001 [abs, src, ps, other]:

Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces

Authors: Lothar Göttsche
Published in: Math. Zeitschr. 223 (1996), 247-260.

Hilbert schemes of zero-dimensional subschemes of smooth varieties

Authors: Lothar Göttsche
Published as: Lecture Notes in Mathematics 1572, Springer Verlag 1994.

The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety

Authors: Barbara Fantechi, Lothar Göttsche
Published in: J. reine angew. Math. 439 (1993), 147-158.

Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces

Authors: Lothar Göttsche, W. Soergel
Published in: Math. Ann. 296 (1993), 235-245.

The Betti numbers of the Hilbert scheme of points on a smooth projective surface

Authors: Lothar Göttsche
Published in: Math. Ann. 286 (1990), 193-207.