{"product_id":"coherent-sheaves-superconnections-and-riemann-roch-grothendieck-jean-michel-bismut-9783031272332","title":"Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck","description":"This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck theorem. One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections. Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian.\u003cbr\u003e\u003ci\u003eCoherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck\u003c\/i\u003e is an important contribution to both the geometric and analytic study of complex manifolds and, as such, it will be a valuable resource formany researchers in geometry, analysis, and mathematical physics. \u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jean-Michel Bismut, Shu Shen, Zhaoting Wei\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3031272331\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031272332\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/14\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 184\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.00lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.50d","brand":"Jean-Michel Bismut","offers":[{"title":"Hardcover","offer_id":44567064707327,"sku":"9783031272332","price":129.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d8c6127b-e433-44d9-9fc2-979ee1defae2.jpg?v=1701375866","url":"https:\/\/www.whiterainbookhouse.com\/products\/coherent-sheaves-superconnections-and-riemann-roch-grothendieck-jean-michel-bismut-9783031272332","provider":"WR Book House","version":"1.0","type":"link"}