Floer homology groups in Yang-Mills ...
Donaldson, S. K.,

 

  • Floer homology groups in Yang-Mills theory /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 530.14/35
    書名/作者: Floer homology groups in Yang-Mills theory // S.K. Donaldson with the assistance of M. Furuta and D. Kotschick.
    作者: Donaldson, S. K.,
    其他作者: Furuta, M.,
    面頁冊數: 1 online resource (vii, 236 pages) : : digital, PDF file(s).
    附註: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
    標題: Yang-Mills theory.
    標題: Floer homology.
    標題: Geometry, Differential.
    ISBN: 9780511543098 (ebook)
    摘要、提要註: The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.
    電子資源: http://dx.doi.org/10.1017/CBO9780511543098
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