{"product_id":"twisted-morse-complexes-springer-international-publishing-ag-9783031716157-morse-homology-and-cohomology-with-local-coefficients-augustin-banyaga","title":"Twisted Morse Complexes","description":"\u003cp\u003eDiscover the groundbreaking work of Augustin Banyaga in \"Twisted Morse Complexes,\" published by Springer International Publishing AG in 2024. This insightful book spans 158 pages and presents a complete proof of the Twisted Morse Homology Theorem. Banyaga expertly demonstrates that on a closed finite-dimensional smooth manifold, the homology of the Morse–Smale–Witten chain complex with coefficients in a bundle of abelian groups G is isomorphic to the singular homology of the manifold with coefficients in G. This pivotal theorem is essential for mathematicians and researchers interested in algebraic topology and differential geometry. Enhance your understanding of complex manifolds and their homological properties with this essential addition to your mathematical library. Order your copy of \"Twisted Morse Complexes\" today and delve into the intricate world of Morse theory.\u003c\/p\u003e","brand":"Augustin Banyaga","offers":[{"title":"Default Title","offer_id":52255688393046,"sku":"9783031716157","price":66.68,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0886\/3206\/6390\/files\/9783031716157.jpg?v=1767785093","url":"https:\/\/www.bookshop.lv\/products\/twisted-morse-complexes-springer-international-publishing-ag-9783031716157-morse-homology-and-cohomology-with-local-coefficients-augustin-banyaga","provider":"Bookshop","version":"1.0","type":"link"}