Hirzebruch chi(y) genera of the Hilbert schemes of surfaces by localization formula Academic Article

abstract

• We use the Atiyah-Bott-Segal-Singer Lefschetz fixed point formula to calculate the Hirzebruch y genus y(S[n]), where S[n] is the Hilbert scheme of points of length n of a surface S. Combinatorial interpretation of the weights of the fixed points of the natural torus action on (2)[n] is used. This is the first step to prove a conjectural formula about the elliptic genus of the Hilbert schemes.

authors

• Yan, Catherine

published proceedings

• SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY

author list (cited authors)

• Liu, K. F., Yan, C., & Zhou, J.

citation count

• 2

complete list of authors

• Liu, KF||Yan, C||Zhou, J

publication date

• April 2002

publisher

• Springer Nature  Publisher

published in

• Science in China Series A: Mathematics  Journal

keywords

• Genera
• Hilbert Schemes
• Localization Formula

Digital Object Identifier (DOI)

• 10.1007/BF02872330

start page

• 420

end page

• 431

volume

• 45

issue

• 4

URL

• http://dx.doi.org/10.1007/bf02872330