Perturbed Gradient Flow Trees and A algebra Structures in Morse Cohomology is popular PDF and ePub book, written by Stephan Mescher in 2018-04-25, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Perturbed Gradient Flow Trees and A algebra Structures in Morse Cohomology can be Read Online from any device for your convenience.
Perturbed Gradient Flow Trees and A algebra Structures in Morse Cohomology Book PDF Summary
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A∞-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya’s definition of Morse-A∞-categories for closed oriented manifolds involving families of Morse functions. To make A∞-structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid’s approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory. In particular, no advanced algebra skills are required, and the perturbation theory for Morse trajectories is completely self-contained. In addition to its relevance for finite-dimensional Morse homology, this book may be used as a preparation for the study of Fukaya categories in symplectic geometry. It will be of interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.
Detail Book of Perturbed Gradient Flow Trees and A algebra Structures in Morse Cohomology PDF
- Author : Stephan Mescher
- Release : 25 April 2018
- Publisher : Springer
- ISBN : 9783319765846
- Genre : Mathematics
- Total Page : 171 pages
- Language : English
- PDF File Size : 16,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Perturbed Gradient Flow Trees and A algebra Structures in Morse Cohomology by Stephan Mescher, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.