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vls/2603nrwcece.visuallibrary.netvdCategorical Donaldson-Thomas theory for local surfacesToda, YukinobuVerfasserauttextTextbookszXA-CH© 2024Cham, SwitzerlandSpringer[2024]2024monographicengprintxi, 309 Seiten Diagrammeohne Hilfsmittel zu benutzenBandThis book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geometry, birational geometry, geometric representation theory and classical moduli problems in algebraic geometry. The focus is on local surfaces, i.e. the total spaces of canonical line bundles on algebraic surfaces, which form an interesting class of Calabi-Yau 3-folds. Using Koszul duality equivalences and singular support theory, dg-categories are constructed which categorify Donaldson-Thomas invariants on local surfaces. The DT invariants virtually count stable coherent sheaves on Calabi-Yau 3-folds, and play an important role in modern enumerative geometry, representation theory and mathematical physics. Requiring a basic knowledge of algebraic geometry and homological algebra, this monograph is primarily addressed to researchers working in enumerative geometry, especially Donaldson-Thomas theory, derived categories of coherent sheaves, and related areasYukinobu TodaDonaldson-Thomas invariantsInvariants de Donaldson-ThomasCalabi-Yau-MannigfaltigkeitKategorientheorieSI 850978303161704199374228434706441HT030795659Online-Ausgabe, eBook9783031617058Lecture notes in mathematics2350(DE-605)HT001253222rda24072220250414143912.02561648ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2561648 https://ce.visuallibrary.net/id/1333812 https://ce.visuallibrary.net/i3f/v20/1333812/manifest https://ce.visuallibrary.net/proto_ftsearch/1333812