Blowups Slicings and Permutation Groups in Combinatorial Topology is popular PDF and ePub book, written by Jonathan Spreer in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Blowups Slicings and Permutation Groups in Combinatorial Topology can be Read Online from any device for your convenience.
Blowups Slicings and Permutation Groups in Combinatorial Topology Book PDF Summary
Combinatorial topology is a field of research that lies in the intersection of geometric topology, combinatorics, algebraic topology and polytope theory. The main objects of interest are piecewise linear topological manifolds where the manifold is given as a simplicial complex with some additional combinatorial structure. These objects are called combinatorial manifolds. In this work, elements and concepts of algebraic geometry, such as blowups, Morse theory as well as group theory are translated into the field of combinatorial topology in order to establish new tools to study combinatorial manifolds. These tools are applied to triangulated surfaces, 3- and 4-manifolds with and without the help of a computer. Among other things, a new combinatorial triangulation of the K3 surface, combinatorial properties of normal surfaces, and new combinatorial triangulations of pseudomanifolds with multiply transitive automorphism group are presented.
Detail Book of Blowups Slicings and Permutation Groups in Combinatorial Topology PDF
- Author : Jonathan Spreer
- Release : 21 September 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832529833
- Genre : Mathematics
- Total Page : 251 pages
- Language : English
- PDF File Size : 17,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Blowups Slicings and Permutation Groups in Combinatorial Topology by Jonathan Spreer, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.