Get Gromov-Witten Theory of Spin Curves and Orbifolds: AMS PDF

By Kimura & Vaintrob Jarvis

ISBN-10: 0821835343

ISBN-13: 9780821835340

ISBN-10: 1019979739

ISBN-13: 9781019979730

ISBN-10: 1120006376

ISBN-13: 9781120006370

ISBN-10: 5119849059

ISBN-13: 9785119849054

ISBN-10: 8719873433

ISBN-13: 9788719873436

This quantity is a set of articles on orbifolds, algebraic curves with greater spin buildings, and similar invariants of Gromov-Witten style. Orbifold Gromov-Witten thought generalizes quantum cohomology for orbifolds, while spin cohomological box concept relies at the moduli areas of upper spin curves and is said by way of Witten's conjecture to the Gelfand-Dickey integrable hierarchies. a typical characteristic of those very diversified taking a look theories is the critical function performed via orbicurves in either one of them. Insights in a single idea can usually yield insights into the opposite. This ebook brings jointly for the 1st time papers relating to either side of this interplay. The articles within the assortment conceal varied subject matters, resembling geometry and topology of orbifolds, cohomological box theories, orbifold Gromov-Witten concept, $G$-Frobenius algebra and singularities, Frobenius manifolds and Givental's quantization formalism, moduli of upper spin curves and spin cohomological box idea

Show description

Read Online or Download Gromov-Witten Theory of Spin Curves and Orbifolds: AMS Special Session on Gromov-Witten Theory of Spin Curves and Orbifolds, May 3-4, 2003, San Franci PDF

Similar algebraic geometry books

Lectures on introduction to moduli problems and orbit spaces by P.E. Newstead PDF

Backbone name: advent to moduli difficulties and orbit areas.

Higher-Dimensional Algebraic Geometry - download pdf or read online

Higher-Dimensional Algebraic Geometry stories the type idea of algebraic types. This very lively region of study continues to be constructing, yet an grand volume of data has collected during the last 20 years. The author's target is to supply an simply available advent to the topic.

Download e-book for iPad: Hilbert by Constance Reid

Now in new alternate paper variations, those vintage biographies of 2 of the best twentieth Century mathematicians are being published lower than the Copernicus imprint. those noteworthy debts of the lives of David Hilbert and Richard Courant are heavily similar: Courant's tale is, in lots of methods, noticeable because the sequel to the tale of Hilbert.

Download e-book for iPad: Foliation Theory in Algebraic Geometry by Paolo Cascini, James McKernan, Jorge Vitório Pereira

That includes a mix of unique learn papers and entire surveys from a global crew of prime researchers within the thriving fields of foliation concept, holomorphic foliations, and birational geometry, this booklet provides the complaints of the convention "Foliation thought in Algebraic Geometry," hosted through the Simons starting place in long island urban in September 2013.

Additional info for Gromov-Witten Theory of Spin Curves and Orbifolds: AMS Special Session on Gromov-Witten Theory of Spin Curves and Orbifolds, May 3-4, 2003, San Franci

Sample text

This is a straightforward generalization in the case of curves of the one given by Mumford in [42]. A. Barja and L. Stoppino Let C be a smooth curve, and let 'W C ! Pr 1 be a non-degenerate morphism. C; L / of dimension r such that ' is induced from the linear series jV j. e. jV j is a gdr 1 on C ). Linear stability gives a lower bound on the slope between the degree and the dimension of any projections, depending on the degree and dimension of the given linear series as follows. Definition 6. C; V /, is linearly semistable (resp.

RP 1/ for i D 1; : : : ; l (dlC1 D dl ) and that ri C1 i Observe that degG D li D1 ri . i i C1 / to get L2 2adegG a. 1 C ri C 1. l /; which finally proves 2adl d degG D 2 degG : a C dl r L2 Remark 23. The fact that we used Clifford’s theorem in the proof of the slope inequality via Xiao’s method in Example 3 can thus be rephrased in the following way: Clifford’s theorem implies the linear semistability of the general fibres of f together with their canonical systems. We can make the following improvement for the complete case.

Reine Angew. Math. 480, 177–195 (1996) 40. I. Morrison, Projective stability of ruled surfaces. Invent. Math. 56(3), 269–304 (1980) 41. I. Morrison, Stability of Hilbert Points of Generic K3 Surfaces, vol. 401 (Centre de Recerca Matemática, Bellaterra, 1999) 42. D. Mumford, Stability of projective varieties. L’Ens. Math. 23, 39–110 (1977) 43. D. Mumford, J. Fogarty, F. Kirwan, Geometric Invariant Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 34(2), 3rd edn. (Springer, Berlin, 1994) 44.

Download PDF sample

Gromov-Witten Theory of Spin Curves and Orbifolds: AMS Special Session on Gromov-Witten Theory of Spin Curves and Orbifolds, May 3-4, 2003, San Franci by Kimura & Vaintrob Jarvis

by Paul

Rated 4.32 of 5 – based on 8 votes

Categories: Algebraic Geometry