| 书目名称 | Normal Surface Singularities | | 编辑 | András Némethi | | 视频video | | | 概述 | Provides a self-contained presentation of analytic and topological invariants of surface singularities.Combines the classical analytic approach with modern low-dimensional topology.Presents lattice co | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati | | 图书封面 |  | | 描述 | This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology. In this way, it unites the analytic approach with the more recent topological one, combining their tools and methods..In the first chapters, the book sets out the foundations of the theory of normal surface singularities. This includes a comprehensive presentation of the properties of the link (as an oriented 3-manifold) and of the invariants associated with a resolution, combined with the structure and special properties of the line bundles defined on a resolution. A recurring theme is the comparison of analytic and topological invariants. For example, the Poincaré series of the divisorial filtration is compared to a topological zeta function associated with the resolution graph, and the sheaf cohomologies of the line bundles are compared to the Seiberg–Witten invariants of the link. Equivariant Ehrhart theory is introduced to establish surgery-additivity formulae of these invariants, as well as for the regularization procedures of multivariable series..In addition to recent research, the book also provides | | 出版日期 | Book 2022 | | 关键词 | link of singularities; Artin-Laufer program; Seiberg-Witten invariant; Casson invariant; Casson-Walker i | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-06753-2 | | isbn_ebook | 978-3-031-06753-2Series ISSN 0071-1136 Series E-ISSN 2197-5655 | | issn_series | 0071-1136 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:22:11
