05231oam 2200541 450 99641820060331620210415152203.0981-15-5562-110.1007/978-981-15-5562-6(CKB)4100000011508817(DE-He213)978-981-15-5562-6(MiAaPQ)EBC6380836(PPN)257359559(EXLCZ)99410000001150881720210415d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierKuranishi structures and virtual fundamental chains /Kenji Fukaya [and three others]1st ed. 2020.Singapore :Springer,[2020]©20201 online resource (XV, 638 p. 149 illus., 34 illus. in color.) Springer Monographs in Mathematics981-15-5561-3 Includes bibliographical references and index.1.Introduction -- 2.Notations and conventions -- 3.Kuranishi structure and good coordinate system -- 4.Fiber product of Kuranishi structures -- 5.Thickening of a Kuranishi structure -- 6.Multivalued perturbation -- 7.CF-perturbation and integration along the fiber (pushout) -- 8.Stokes' formula -- 9.From good coordinate system to Kuranishi structure and back with CF-perturbations -- 10.Composition formula of smooth correspondences -- 11.Construction of good coordinate system -- 12.Construction of CF-perturbations -- 13.Construction of multivalued perturbations -- 14.Zero and one dimensional cases via multivalued perturbation -- 15.Introduction to Part 2 -- 16.Linear K-system: Floer cohomology I: statement -- 17.Extension of Kuranishi structure and its perturbation from boundary to its neighborhood -- 18.Smoothing corners and composition of morphisms -- 19.Linear K-system: Floer cohomology II: proof -- 20.Linear K-system: Floer cohomology III: Morse case by multisection -- 21.Tree-like K-system: A1 structure I: statement -- 22.Tree-like K-system: A1 structure II: proof -- 23. Orbifold and orbibundle by local coordinate -- 24.Covering space of effective orbifold and K-space -- 25.Admissible Kuranishi structure -- 26.Stratified submersion to a manifold with corners -- 27.Local system and smooth correspondence in de Rham theory with twisted coefficients -- 28.Composition of KG and GG embeddings: Proof of Lemma 3.34 -- 29.Global quotient and orbifold. .The package of Gromov’s pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics. The Kuranishi structure was introduced by two of the authors of the present volume in the mid-1990s to apply this machinery on general symplectic manifolds without assuming any specific restrictions. It was further amplified by this book’s authors in their monograph Lagrangian Intersection Floer Theory and in many other publications of theirs and others. Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of Kuranishi structures. Part I discusses the theory on a single space equipped with Kuranishi structure, called a K-space, and its relevant basic package. First, the definition of a K-space and maps to the standard manifold are provided. Definitions are given for fiber products, differential forms, partitions of unity, and the notion of CF-perturbations on the K-space. Then, using CF-perturbations, the authors define the integration on K-space and the push-forward of differential forms, and generalize Stokes' formula and Fubini's theorem in this framework. Also, “virtual fundamental class” is defined, and its cobordism invariance is proved. Part II discusses the (compatible) system of K-spaces and the process of going from “geometry” to “homological algebra”. Thorough explanations of the extension of given perturbations on the boundary to the interior are presented. Also explained is the process of taking the “homotopy limit” needed to handle a system of infinitely many moduli spaces. Having in mind the future application of these chain level constructions beyond those already known, an axiomatic approach is taken by listing the properties of the system of the relevant moduli spaces and then a self-contained account of the construction of the associated algebraic structures is given. This axiomatic approach makes the exposition contained here independent of previously published construction of relevant structures. .Springer monographs in mathematics.Geometry, DifferentialGeometry, HyperbolicPolytopesCohomology operationsGeometry, Differential.Geometry, Hyperbolic.Polytopes.Cohomology operations.516.36Fukaya Kenji1959-858007MiAaPQMiAaPQUtOrBLWBOOK996418200603316Kuranishi structures and virtual fundamental chains2547514UNISA03037nam 22005775 450 99635964330331620230623184349.010.1515/9789048542062(CKB)4100000011354965(DE-B1597)567137(DE-B1597)9789048542062(MiAaPQ)EBC30406564(Au-PeEL)EBL30406564(EXLCZ)99410000001135496520210621h20202020 fg engur||#||||||||txtrdacontentcrdamediacrrdacarrierDigital Media Practices in Households Kinship through Data /Heather Horst, Sarah Pink, Fumitoshi Kato, Baohua Zhou, Jolynna Sinanan, Kana Ohashi, Larissa Hjorth1st ed.Amsterdam :Amsterdam University Press,[2020]©20201 online resource (206 p.)MediaMatters90-485-4206-5 Frontmatter --Table of Contents --List of Figures --Acknowledgements --1. Introduction --Section I. Digital Kinship --2. Platform Genealogies --3. Friendly Social Surveillance --Section II. Playful Kinship --4. Digital Gifts and Rituals --5. Playful Haptics in Families --Section III. Visualizing Kinship --6. Personal Visual Collecting and Self-Cataloguing --7. Visual Generational Genres --Section IV. Co-futuring Kinship --8. Re-imagining Digital Care and Health --9. Quotidian Care at a Distance --10. Conclusion --Author Biographies --IndexHow are intergenerational relationships playing out in the digital rhythms of the household? Through extensive fieldwork in Tokyo, Shanghai and Melbourne, this book ethnographically explores how households are being understood, articulated and defined by digital media practices. It explores the rise of self-tracking, quantified self and informal practices of care at distance as part of contemporary household dynamics.MediaMattersDigital mediaSocial aspectsCOMPUTERS / Interactive & MultimediabisacshLocative media.households.informal care.mobile media.self-tracking.Digital mediaSocial aspects.COMPUTERS / Interactive & Multimedia.Hjorth Larissaauthttp://id.loc.gov/vocabulary/relators/aut901003Kato Fumitoshiauthttp://id.loc.gov/vocabulary/relators/autOhashi Kanaauthttp://id.loc.gov/vocabulary/relators/autPink Sarahauthttp://id.loc.gov/vocabulary/relators/autSinanan Jolynnaauthttp://id.loc.gov/vocabulary/relators/autZhou Baohuaauthttp://id.loc.gov/vocabulary/relators/autDE-B1597DE-B1597BOOK996359643303316Digital Media Practices in Households2013957UNISA