The Topology of Torus Actions on Symplectic Manifolds - 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 Topology of Torus Actions on Symplectic Manifolds write by Michèle Audin. This book was released on 2012-12-06. The Topology of Torus Actions on Symplectic Manifolds available in PDF, EPUB and Kindle. The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Transformation Groups
Transformation Groups - 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 Transformation Groups write by Goutam Mukherjee. This book was released on 2005-04-15. Transformation Groups available in PDF, EPUB and Kindle. Contributed lectures presented earlier at Winter School on Transformation Groups.
Torus Actions on Symplectic Manifolds
Torus Actions on Symplectic Manifolds - 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 Torus Actions on Symplectic Manifolds write by Michèle Audin. This book was released on 2012-12-06. Torus Actions on Symplectic Manifolds available in PDF, EPUB and Kindle. The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology
Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic 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 Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology write by Milena Dorota Pabiniak. This book was released on 2012. Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology available in PDF, EPUB and Kindle. The central theme of this work are Hamiltonian torus actions on symplectic manifolds. We investigate the invariants of the action, and use the action to answer questions about the invariants of the manifold itself.
Torus Actions and Their Applications in Topology and Combinatorics
Torus Actions and Their Applications in Topology and Combinatorics - 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 Torus Actions and Their Applications in Topology and Combinatorics write by V. M. Buchstaber. This book was released on 2002. Torus Actions and Their Applications in Topology and Combinatorics available in PDF, EPUB and Kindle. Here, the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a propermanifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements. This approachalso provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of moment-angle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology. The book includes many new and well-known open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatoricsand will help to establish even tighter connections between the subjects involved.
