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Handbook of geometry and topology of singularities.. VI,. Foliations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Handbook of geometry and topology of singularities./ edited by Felipe Cano ... [et al.].
其他題名:	Foliations
其他作者:	Cano, Felipe.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xxii, 487 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Foliations (Mathematics) - Handbooks, manuals, etc. -
電子資源:	https://doi.org/10.1007/978-3-031-54172-8
ISBN:	9783031541728

Handbook of geometry and topology of singularities.. VI,. Foliations
Handbook of geometry and topology of singularities.VI,Foliations[electronic resource] /Foliationsedited by Felipe Cano ... [et al.]. - Cham :Springer Nature Switzerland :2024. - xxii, 487 p. :ill., digital ;24 cm.

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. Singularities are ubiquitous in mathematics and science in general, and singularity theory is a crucible where different types of mathematical problems converge, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. This Volume VI goes together with Volume V and focuses on singular holomorphic foliations, which is a multidisciplinary field and a whole area of mathematics in itself. Singular foliations arise, for instance, by considering: The fibers of a smooth map between differentiable manifolds, with singularities at the critical points. The integral lines of a vector field, or the action of a Lie group on a manifold. The singularities are the orbits with special isotropy. The kernel of appropriate 1-forms. The singularities are the zeroes of the form. Open books, which naturally appear in singularity theory, are foliations with singular set the binding. These important examples highlight the deep connections between foliations and singularity theory. This volume consists of nine chapters, authored by world experts, which provide in-depth and reader-friendly introductions to some of the foundational aspects of the theory. These introductions also give insights into important lines of further research. Volume VI ends with an Epilogue by one of the current world leaders in the theory of complex foliations, with plenty of open questions and ideas for further research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

ISBN: 9783031541728

Standard No.: 10.1007/978-3-031-54172-8doiSubjects--Topical Terms:

3719406
Foliations (Mathematics)
--Handbooks, manuals, etc.

LC Class. No.: QA613.62

Dewey Class. No.: 514.72

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