Topology of Singular Spaces and Constructible Sheaves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology of Singular Spaces and Constructible Sheaves write by Jörg Schürmann. This book was released on 2012-12-06. Topology of Singular Spaces and Constructible Sheaves available in PDF, EPUB and Kindle. This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
Sheaves in Topology
Sheaves in Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sheaves in Topology write by Alexandru Dimca. This book was released on 2012-12-06. Sheaves in Topology available in PDF, EPUB and Kindle. Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thoroughly supported along the way by examples and exercises.
Topology of Singular Speces and Constructible Sheaves
Topology of Singular Speces and Constructible Sheaves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology of Singular Speces and Constructible Sheaves write by Jörg Schürmann. This book was released on 2003. Topology of Singular Speces and Constructible Sheaves available in PDF, EPUB and Kindle.
Intersection Homology & Perverse Sheaves
Intersection Homology & Perverse Sheaves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Intersection Homology & Perverse Sheaves write by Laurenţiu G. Maxim. This book was released on 2019-11-30. Intersection Homology & Perverse Sheaves available in PDF, EPUB and Kindle. 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
Topology of Stratified Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topology of Stratified Spaces write by Greg Friedman. This book was released on 2011-03-28. Topology of Stratified Spaces available in PDF, EPUB and Kindle. This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.
