Download Quantum cohomology: lectures given at the C.I.M.E. Summer by K. Behrend, C. Gomez, V. Tarasov, G. Tian, P.de Bartolomeis, PDF

By K. Behrend, C. Gomez, V. Tarasov, G. Tian, P.de Bartolomeis, B. Dubrovin, C. Reina

ISBN-10: 3540431217

ISBN-13: 9783540431213

The booklet gathers the lectures given on the C.I.M.E. summer season university "Quantum Cohomology" held in Cetraro (Italy) from June thirtieth to July eighth, 1997. The lectures and the following updating hide a wide spectrum of the topic at the box, from the algebro-geometric perspective, to the symplectic technique, together with contemporary advancements of string-branes theories and q-hypergeometric features.

Show description

Read Online or Download Quantum cohomology: lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997 PDF

Similar algebra books

Globalizing Interests: Pressure Groups and Denationalization

Globalizing pursuits is an leading edge examine of globalization "from inside," taking a look at the response of nationally constituted curiosity teams to demanding situations produced by way of the denationalization technique. The participants specialise in enterprise institutions, alternate unions, civil rights corporations, and right-wing populists from Canada, Germany, nice Britain, and the U.S., and look at how they've got spoke back to 3 tremendous globalized factor components: the net, migration, and weather switch.

Extra resources for Quantum cohomology: lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997

Example text

10. 11. 12. and R. Pandharipande. Notes on stable W. Fulton maps and quantum cohoAmer. Math. Cruz 1995, pages 45-96. geometry-Santa mology. , Providence, RI, 1997. Math. Res. invariants. Internat. Gromov-Witten A. Givental. Equivariant 1996(13):613-663. Notices, Localization of virtual classes. Invent. T. Graber and R. Pandhaxipande. , 1999. 135:487-518, 13. M. Kontsevich. space of curves of rational Enumeration (Texel Island, 1994), curves via torus pages 335-368. In The moduli actions. Birkhiiuser Boston, Boston, MA, 1995.

In order to define can simply apply Noether's theorem for a gauge 0-term we are multiplying charge, constant, U(1) topological we in the unbroken transformation in the 0 U(1) direction of corresponding Noether given, after N= ag the 0-term f d 3 x0i (0 An infinitesimal gauge by D,,O, (1-59) 0. charge, N= be [18]. be defined ag 60 to the direction would I will F attvFav. - becomes action transformation The (1-55) , Dyon Effect. 61) C6sar G6mez and Rafael 50 or, in charge, electric of the terms HernAndez as Og e N -- + - Notice (1-61) from ground of the rotation, we that If e which electric that implies charge lagrangian, if we 27ri( '+jt2 'Tm) 9 ng N = f.

3): as Y where = a (,r, d, 7) graphs FM-g,n (IF, d)T] given by (-r, d, -y). Then have 0 (9 ... 3) an) t7MWg,n(PI,d)] T 0 VI FMg,n (Pl,d)T] b* ev* (a, an) K. Behrend 28 The fixed Recall locus that prestable graphs are They modular marked F, (which either can be tails graphs that the of consist curves. pair or edges), up to markings of the vertices, giving the vertices and edges E,. The set of flags connected with A vertex (the is (-r, d,,y) be least at of -r' a 1 non-negative Tails the vertex v graph is a valence valence by contracting is obtained The set of vertices vertices.

Download PDF sample

Quantum cohomology: lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997 by K. Behrend, C. Gomez, V. Tarasov, G. Tian, P.de Bartolomeis, B. Dubrovin, C. Reina


by Thomas
4.5

Rated 4.26 of 5 – based on 22 votes