THE GROMOV–WITTEN AND DONALDSON–THOMAS CORRESPONDENCE FOR TRIVIAL ELLIPTIC FIBRATIONS

DOI10.1142/S0129167X07004357zbMath1127.14006arXivmath/0601257MaRDI QIDQ5295433

Dan Edidin, Zhenbo Qin

Publication date: 30 July 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601257

zbMATH Keywords

Gromov-Witten theoryDonaldson-Thomas theory

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• The intrinsic normal cone
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

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