Published by Springer, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
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Published by Springer International Publishing, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
Seller: AHA-BUCH GmbH, Einbeck, Germany
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
Springer, Berlin 2012. xii,240 pages. Soft covers.[#219752].
Published by Springer, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
Seller: GreatBookPrices, Columbia, MD, U.S.A.
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Published by Berlin, Springer Berlin., 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
Seller: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germany
287 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Bolyai Society Mathematical Studies, Vol. 23. Sprache: Englisch.
Published by Springer, 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
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Published by Springer, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
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Published by Springer, 2016
ISBN 10: 3662524694 ISBN 13: 9783662524695
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Soft Cover. Condition: new. This item is printed on demand.
Published by Springer, 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
Seller: booksXpress, Bayonne, NJ, U.S.A.
Hardcover. Condition: new.
Published by Springer International Publishing Okt 2022, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 736 pp. Englisch.
Published by Springer, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
Seller: GreatBookPricesUK, Castle Donington, DERBY, United Kingdom
Condition: As New. Unread book in perfect condition.
Published by Springer, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
Seller: Basi6 International, Irving, TX, U.S.A.
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service.
Published by Springer, 2016
ISBN 10: 3662524694 ISBN 13: 9783662524695
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Published by Springer 10/1/2016, 2016
ISBN 10: 3662524694 ISBN 13: 9783662524695
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Paperback or Softback. Condition: New. Deformations of Surface Singularities 0.9. Book.
Published by Springer, 2016
ISBN 10: 3662524694 ISBN 13: 9783662524695
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Published by Springer, 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
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Published by Springer, 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2022
ISBN 10: 3031067525 ISBN 13: 9783031067525
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Published by Springer, 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
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ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2012
ISBN 10: 3642236464 ISBN 13: 9783642236464
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Published by Springer, 2016
ISBN 10: 3662524694 ISBN 13: 9783662524695
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Published by Springer, 2013
ISBN 10: 3642391303 ISBN 13: 9783642391309
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