{"product_id":"perturbed-gradient-flow-trees-and-a8-algebra-structures-on-morse-cochain-complexes-von-stephan-mescher","title":"Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology","description":"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.\u003cbr\u003eIn 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 beof interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.\u003cbr\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030095260\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319765839\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783030095260","offer_id":39423750209629,"sku":"9783030095260","price":69.54,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783319765839","offer_id":1018462339078,"sku":"9783319765839","price":96.29,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9e9a34a2-6891-464c-b392-3fc2e73ca08f.jpg?v=1772171728","url":"https:\/\/shop.autorenwelt.de\/products\/perturbed-gradient-flow-trees-and-a8-algebra-structures-on-morse-cochain-complexes-von-stephan-mescher","provider":"Autorenwelt Shop","version":"1.0","type":"link"}