Proceedings Of The Second Conference On Compact Transformation Groups University Of Massachusetts Amherst 1971

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Proceedings of the Second Conference on Compact Transformation Groups

Author : H. T. Ku,L. N. Mann,J. L. Sicks,J. C. Su
Publisher : Unknown
Page : 128 pages
File Size : 52,8 Mb
Release : 1972
Category : Electronic
ISBN : OCLC:472171937

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Proceedings of the Second Conference on Compact Transformation Groups by H. T. Ku,L. N. Mann,J. L. Sicks,J. C. Su Pdf

Proceedings of the Second Conference on Compact Transformation Groups

Author : Conference on Compact Transformation Groups
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 1972
Category : Electronic
ISBN : OCLC:472171786

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Proceedings of the Second Conference on Compact Transformation Groups by Conference on Compact Transformation Groups Pdf

Group Actions on Manifolds

Author : Reinhard Schultz
Publisher : American Mathematical Soc.
Page : 568 pages
File Size : 45,5 Mb
Release : 1985
Category : Mathematics
ISBN : 9780821850381

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Group Actions on Manifolds by Reinhard Schultz Pdf

Not merely an account of new results, this book is also a guide to motivation behind present work and potential future developments. Readers can obtain an overall understanding of the sorts of problems one studies in group actions and the methods used to study such problems. The book will be accessible to advanced graduate students who have had the equivalent of three semesters of graduate courses in topology; some previous acquaintance with the fundamentals of transformation groups is also highly desirable. The articles in this book are mainly based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado. A major objective was to provide an overall account of current knowledge in transformation groups; a number of survey articles describe the present state of the subject from several complementary perspectives. The book also contains some research articles, generally dealing with results presented at the conference. Finally, there is a discussion of current problems on group actions and an acknowledgment of the work and influence of D. Montgomery on the subject.

An Index and Other Useful Information

Author : A. Dold,B. Eckmann
Publisher : Springer
Page : 82 pages
File Size : 46,7 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9781489945815

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An Index and Other Useful Information by A. Dold,B. Eckmann Pdf

Computers, Rigidity, and Moduli

Author : Shmuel Weinberger
Publisher : Princeton University Press
Page : 190 pages
File Size : 46,7 Mb
Release : 2020-12-08
Category : Mathematics
ISBN : 9780691222462

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Computers, Rigidity, and Moduli by Shmuel Weinberger Pdf

This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow. The main sort of algorithmic problem that arises is recognition: is the presented object equivalent to some standard one? If it is difficult to determine whether the problem is solvable, then the original object has doppelgängers--that is, other objects that are extremely difficult to distinguish from it. Many new questions emerge about the algorithmic nature of known geometric theorems, about "dichotomy problems," and about the metric entropy of moduli space. Weinberger studies them using tools from group theory, computability, differential geometry, and topology, all of which he explains before use. Since several examples are worked out, the overarching principles are set in a clear relief that goes beyond the details of any one problem.

Proceedings of the Second Conference on Compact Transformation Groups

Author : Conference on Compact Transformation Groups
Publisher : Unknown
Page : 826 pages
File Size : 49,8 Mb
Release : 1972
Category : Cobordism theory
ISBN : UCSD:31822026278564

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Proceedings of the Second Conference on Compact Transformation Groups by Conference on Compact Transformation Groups Pdf

Normal Surface Singularities

Author : András Némethi
Publisher : Springer Nature
Page : 732 pages
File Size : 47,8 Mb
Release : 2022-10-07
Category : Mathematics
ISBN : 9783031067532

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Normal Surface Singularities by András Némethi Pdf

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 expositions of more classical subjects such as the classification of plane and cuspidal curves, Milnor fibrations and smoothing invariants, the local divisor class group, and the Hilbert–Samuel function. It contains a large number of examples of key families of germs: rational, elliptic, weighted homogeneous, superisolated and splice-quotient. It provides concrete computations of the topological invariants of their links (Casson(–Walker) and Seiberg–Witten invariants, Turaev torsion) and of the analytic invariants (geometric genus, Hilbert function of the divisorial filtration, and the analytic semigroup associated with the resolution). The book culminates in a discussion of the topological and analytic lattice cohomologies (as categorifications of the Seiberg–Witten invariant and of the geometric genus respectively) and of the graded roots. Several open problems and conjectures are also formulated. Normal Surface Singularities provides researchers in algebraic and differential geometry, singularity theory, complex analysis, and low-dimensional topology with an invaluable reference on this rich topic, offering a unified presentation of the major results and approaches.

Transformation Groups Poznan 1985

Author : Stefan Jackowski,Krzysztof Pawalowski
Publisher : Springer
Page : 408 pages
File Size : 44,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540470977

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Transformation Groups Poznan 1985 by Stefan Jackowski,Krzysztof Pawalowski Pdf