The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles - 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 The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles write by Richard Wentworth. This book was released on 2018-06-28. The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles available in PDF, EPUB and Kindle. In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.
Moduli Spaces
Moduli 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 Moduli Spaces write by Leticia Brambila. This book was released on 2014-03-13. Moduli Spaces available in PDF, EPUB and Kindle. A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.
Moduli Spaces and Vector Bundles—New Trends
Moduli Spaces and Vector Bundles—New Trends - 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 Moduli Spaces and Vector Bundles—New Trends write by Peter Gothen. This book was released on 2024-07-18. Moduli Spaces and Vector Bundles—New Trends available in PDF, EPUB and Kindle. This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.
Moduli Spaces and Vector Bundles
Moduli Spaces and Vector Bundles - 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 Moduli Spaces and Vector Bundles write by Steve Bradlow. This book was released on 2009-05-21. Moduli Spaces and Vector Bundles available in PDF, EPUB and Kindle. Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration
Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration - 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 Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration write by Alfonso Zamora Saiz. This book was released on 2021-03-24. Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration available in PDF, EPUB and Kindle. This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered. Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to handle them, and its relationship with GIT quotients, provide instigating new calculations in several problems. Applications include a survey of research results on correspondences between Harder-Narasimhan filtrations with the GIT picture and stratifications of the moduli space of Higgs bundles. Graduate students and researchers who want to approach Geometric Invariant Theory in moduli constructions can greatly benefit from this reading, whose key prerequisites are general courses on algebraic geometry and differential geometry.
