Gromov-Witten theory of spin curves and orbifolds
Subtitle: AMS Special Session on Gromov-Witten Theory of Spin Curves and Orbifolds, May 3-4, 2003, San Francisco State University, San Francisco, California
By: Tyler J. Jarvis, Takashi Kimura, Arkady Vaintrob, editors
Contributors: Jarvis, Tyler Jamison, 1966-; Kimura, Takashi, 1963-; Vaintrob, Arkady, 1956-
Series: Contemporary mathematics -- 403; Contemporary mathematics (American Mathematical Society) -- v. 403
Publisher: American Mathematical Society
Published: 2006
Place of publication: Providence, R.I
Language: eng
Number of pages: 189
Subjects: Gromov-Witten invariants -- Congresses; Frobenius manifolds -- Congresses; Orbifolds -- Congresses; Singularities (Mathematics) -- Congresses; Homology theory -- Congresses
Genres: Congresses
Other titles: Higher spin curves and orbifolds
Description: "This volume is a collection of articles on orbifolds, algebraic curves with higher spin structures, and related invariants of Gromov-Witten type. Orbifold Gromov-Witten theory generalizes quantum cohomology for orbifolds, whereas spin cohomological field theory is based on the moduli spaces of higher spin curves and is related by Witten's conjecture to the Gelfand-Dickey integrable hierarchies. A common feature of these two very different looking theories is the central role played by orbicurves in both of them. Insights in one theory can often yield insights into the other. This book brings together for the first time papers related to both sides of this interaction. The articles in the collection cover diverse topics, such as geometry and topology of orbifolds, cohomological field theories, orbifold Gromov-Witten theory, G-Frobenius algebra and singularities, Frobenius manifolds and Givental's quantization formalism, moduli of higher spin curves and spin cohomological field theory."--Publisher's website.
Notes: Includes bibliographical references