Extending Intersection Homology Type Invariants To Non Witt Spaces
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Extending Intersection Homology Type Invariants To Non Witt Spaces
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Author : Markus Banagl
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Extending Intersection Homology Type Invariants To Non Witt Spaces written by Markus Banagl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.
Singular Intersection Homology
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Author : Greg Friedman
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-24
Singular Intersection Homology written by Greg Friedman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-24 with Mathematics categories.
The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.
Intersection Homology Perverse Sheaves
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Author : Laurenţiu G. Maxim
language : en
Publisher: Springer Nature
Release Date : 2019-11-30
Intersection Homology Perverse Sheaves written by Laurenţiu G. Maxim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-30 with Mathematics categories.
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.
Topology Of Stratified Spaces
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Author : Greg Friedman
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-28
Topology Of Stratified Spaces written by Greg Friedman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-28 with Mathematics categories.
This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.
The Ab Program In Geometric Analysis Sharp Sobolev Inequalities And Related Problems
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Author : Olivier Druet
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
The Ab Program In Geometric Analysis Sharp Sobolev Inequalities And Related Problems written by Olivier Druet and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ programme is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. This text summarizes the results of contemporary research and gives an up-to-date report on the field.
Abstract Band Method Via Factorization Positive And Band Extensions Of Multivariable Almost Periodic Matrix Functions And Spectral Estimation
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Author : L. Rodman
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Abstract Band Method Via Factorization Positive And Band Extensions Of Multivariable Almost Periodic Matrix Functions And Spectral Estimation written by L. Rodman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
In this work, versions of an abstract scheme are developed, which are designed to provide a framework for solving a variety of extension problems. The abstract scheme is commonly known as the band method. The main feature of the new versions is that they express directly the conditions for existence of positive band extensions in terms of abstract factorizations (with certain additional properties). The results prove, amongst other things, that the band extension is continuous in an appropriate sense.
Segre S Reflexivity And An Inductive Characterization Of Hyperquadrics
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Author : Yasuyuki Kachi
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Segre S Reflexivity And An Inductive Characterization Of Hyperquadrics written by Yasuyuki Kachi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Introduction The universal pseudo-quotient for a family of subvarieties Normal bundles of quadrics in $X$ Morphisms from quadrics to Grassmannians Pointwise uniform vector bundles on non-singular quadrics Theory of extensions of families over Hilbert schemes Existence of algebraic quotient--proof of Theorem 0.3 Appendix. Deformations of vector bundles on infinitesimally rigid projective varieties with null global $i$-forms References
Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference
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Author : Jean-paul Brasselet
language : en
Publisher: World Scientific
Release Date : 2007-02-08
Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference written by Jean-paul Brasselet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-08 with Mathematics categories.
The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Invariants Of Boundary Link Cobordism
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Author : Desmond Sheiham
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Invariants Of Boundary Link Cobordism written by Desmond Sheiham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems
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Author : Pierre Lochak
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
On The Splitting Of Invariant Manifolds In Multidimensional Near Integrable Hamiltonian Systems written by Pierre Lochak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.