From Quantum Cohomology to Integrable Systems (Oxford by Martin A. Guest

By Martin A. Guest

Quantum cohomology has its origins in symplectic geometry and algebraic geometry, yet is deeply with regards to differential equations and integrable platforms. this article explains what's at the back of the extreme luck of quantum cohomology, resulting in its connections with many latest parts of arithmetic in addition to its visual appeal in new parts comparable to replicate symmetry.

Certain varieties of differential equations (or D-modules) give you the key hyperlinks among quantum cohomology and conventional arithmetic; those hyperlinks are the main target of the booklet, and quantum cohomology and different integrable PDEs equivalent to the KdV equation and the harmonic map equation are mentioned inside this unified framework.

Aimed at graduate scholars in arithmetic who are looking to know about quantum cohomology in a wide context, and theoretical physicists who're drawn to the mathematical surroundings, the textual content assumes simple familiarity with differential equations and cohomology.

Show description

Read or Download From Quantum Cohomology to Integrable Systems (Oxford Graduate Texts in Mathematics) PDF

Similar quantum theory books

Introduction to Quantum Mechanics: in Chemistry, Materials Science, and Biology (Complementary Science)

Creation to Quantum Mechanics presents a lucid, up to date advent to the rules of quantum mechanics on the point of undergraduates and first-year graduate scholars in chemistry, fabrics technological know-how, biology and similar fields. It indicates how the basic techniques of quantum concept arose from vintage experiments in physics and chemistry, and offers the quantum-mechanical foundations of recent options together with molecular spectroscopy, lasers and NMR.

Gaia's Quantum Leap

Our Earth, Gaia, is altering. As participants and as a civilization, we're being drawn right into a cosmic occasion whose breadth and intensity we will hardly ever think. Gaia is getting into a multidimensional shape, and we needs to swap, too, if we want to live to tell the tale this coming near near transformation. we aren't dealing with the “end of the world,” yet particularly a basic switch within the atmosphere that enables the additional evolution of nature and humankind at the Earth’s floor.

Frontiers and Challenges in Warm Dense Matter (Lecture Notes in Computational Science and Engineering)

Hot Dense topic (WDM) occupies a loosely outlined area of part house intermediate among sturdy, liquid, fuel, and plasma, and usually stocks features of 2 or extra of those stages. WDM is usually linked to the mix of strongly coupled ions and reasonably degenerate electrons, and cautious consciousness to quantum physics and digital constitution is key.

Contextuality from Quantum Physics to Psychology (Advanced Series on Mathematical Psychology)

The e-book explores the range of meanings of contextuality throughout diversified disciplines, with the emphasis on quantum physics and on psychology.

Extra resources for From Quantum Cohomology to Integrable Systems (Oxford Graduate Texts in Mathematics)

Example text

Download PDF sample

Rated 4.44 of 5 – based on 35 votes