Enumerative Invariants in Algebraic Geometry and String by Dan Abramovich, Marcos Mariño, Michael Thaddeus, Ravi Vakil

By Dan Abramovich, Marcos Mariño, Michael Thaddeus, Ravi Vakil (auth.), Kai Behrend, Marco Manetti (eds.)

Starting in the course of the 80s, there was a growing to be and fruitful interplay among algebraic geometry and likely components of theoretical high-energy physics, specially a number of the types of string conception. actual heuristics have supplied thought for brand spanking new mathematical definitions (such as that of Gromov-Witten invariants) major in flip to the answer of difficulties in enumerative geometry. Conversely, the supply of mathematically rigorous definitions and theorems has benefited the physics examine through delivering the mandatory proof in fields the place experimental checking out turns out complicated. the purpose of this quantity, as a result of the CIME summer season tuition held in Cetraro, Italy, in 2005, is to hide a part of the newest and fascinating findings during this subject.

Show description

Read more

Composite materials: properties as influenced by phase by Lauge Fuglsang Nielsen

By Lauge Fuglsang Nielsen

This e-book offers with the mechanical and actual habit of composites as inspired via composite geometry. The monograph offers a complete creation for researchers and scholars to fashionable composite fabrics learn with a unique emphasis at the impact of geometry to fabrics homes. Composite fabrics allows the reader to a greater realizing of the habit of traditional composites, development of such fabrics, and layout of recent fabrics with prescribed properties.

Show description

Read more

Lectures on Differential Geometry by Kai S Lam;Weihuan Chen;Shiing-Shen Chern

By Kai S Lam;Weihuan Chen;Shiing-Shen Chern

This ebook is a translation of an authoritative introductory textual content according to a lecture sequence introduced by way of the popular differential geometer, Professor S S Chern in Beijing collage in 1980. the unique chinese language textual content, authored by way of Professor Chern and Professor Wei-Huan Chen, was once a different contribution to the math literature, combining simplicity and economic system of strategy with intensity of contents. the current translation is aimed toward a large viewers, together with (but now not constrained to) complicated undergraduate and graduate scholars in arithmetic, in addition to physicists drawn to the varied purposes of differential geometry to physics. as well as a radical therapy of the basics of manifold concept, external algebra, the outside calculus, connections on fiber bundles, Riemannian geometry, Lie teams and relocating frames, and intricate manifolds (with a succinct creation to the speculation of Chern classes), and an appendix at the dating among differential geometry and theoretical physics, this ebook encompasses a new bankruptcy on Finsler geometry and a brand new appendix at the heritage and up to date advancements of differential geometry, the latter ready particularly for this variation via Professor Chern to deliver the textual content into views.

Show description

Read more