From Hodge theory to integrability and TQFT; tt*-geometry; proceedings.

9780821844304

From Hodge theory to integrability and TQFT; tt*-geometry; proceedings.

International Workshop from TQFT to tt* and Integrability (2007: Augsburg, Germany) Ed. by Ron Y. Donagi and Katrin Wendland.

American Mathematical Society

2008

304 pages

$75.00

Hardcover

Proceedings of symposia in pure mathematics; v.78

QA564

By the time Cecotti, Vafa and their coauthors published their masterwork on the geometry of topological field theory in 1991, quantum field theory and string theory had already had an enormous impact on geometry. Drawn from discussions held at the U. of Augsburg in May 2007, these papers include an overview of the underlying geometric functions and structures along with new research about "tt*" geometry and its role in singularity theory, Hodge theory, integrable systems, matrix models, and Hurwitz spaces. Specific topics include the universal unfolding of Laurent polynomials and tt* structures, applications from primitive forms to Frobenius manifolds, twistor structures, tt* geometry and singularity theory, differential aspects of tt* equations, aspects of Hodge's theoretical mirror symmetry, applicability to the Neumann system, dimensional gauge series and quantum integrable systems, Hurwitz numbers and matrix models in enumerative geometry, and topological string functions.

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