[PDF.09zb] J-Holomorphic Curves and Quantum Cohomology (University Lecture)

J-Holomorphic Curves and Quantum Cohomology (University Lecture)

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 | #2658702 in Books |  1994-07-28 | Original language:English |  9.75 x7.00 x.50l, | File type: PDF | 209 pages

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||4 of 4 people found the following review helpful.| Needs to be supplemented by considerable outside reading.|By Dr. Lee D. Carlson|As the authors of this book explain, J-holomorphic curves are a generalization of holomorphic curves the latter of which solve the Cauchy-Riemann equations. The Cauchy-Riemann equations are replaced by an expression involving the differentials of a map of a Riemann surface into a closed symplectic m

$J$-holomorphic curves revolutionized the study of symplectic geometry when Gromov first introduced them in 1985. Through quantum cohomology, these curves are now linked to many of the most exciting new ideas in mathematical physics. This book presents the first coherent and full account of the theory of $J$-holomorphic curves, the details of which are presently scattered in various research papers. The first half of the book is an expository account of the field, explai...

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