Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations...
定价:USD 65.00 装帧:Paperback ISBN:9780521184762 豆瓣评分 评价人数不足 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional...
Suitable for beginning graduate students and researchers, this book provides a full discussion of a central part of the study of the topology of manifolds. 展开 关键词: Three manifolds (Topology DOI: 10.1017/CBO9780511543111 被引量: 332
Monopoles and Three-Manifolds || Cobordisms and invariancedoi:10.1017/CBO9780511543111.008Kronheimer, PeterMrowka, Tomasz
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Donaldson gave a description of the moduli space of SU(2) monopoles in terms of rational maps; this was done indirectly, via the associated solution of Nahm's equations. We give here an interpretation of these rational maps in terms of the monopole's spectral curve, and then as "scattering...
A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a three-manifold invariant, which can be regarded as the ...
Tyurin programand use PU(2) monopoles to prove “Property P” for knots, via a com- parison of Yang-Mills and Seiberg-Witten Floer homologies [36], [37]. Moving outside the realm of low-dimensional manifolds per se, a technical issue which plagued the definition of Gromov-Witten invar...
Topological Quantum Field Theory and Seiberg-Witten Monopoles A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topologica... RB Zhang,BL Wang,AL Carey,... - 《Arxiv Cornell University Library》 被引量:...