Download the fantastic book titled One cocycles And Knot Invariants written by Thomas Fiedler, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "One cocycles And Knot Invariants", which was released on 04 January 2023. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of One cocycles And Knot Invariants by Thomas Fiedler PDF
One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the longitude of the knot. The combinatorial 1-cocycles are therefore lifts of the well-known Conway polynomial of knots, and they can be calculated in polynomial time. The 1-cocycles can distinguish loops consisting of knot diagrams in the moduli space up to homology. They give knot invariants when they are evaluated on canonical loops in the connected components of the moduli space. They are a first candidate for numerical knot invariants which can perhaps distinguish the orientation of knots.
Detail About One cocycles And Knot Invariants PDF
- Author : Thomas Fiedler
- Publisher : World Scientific
- Genre : Mathematics
- Total Pages : 341 pages
- ISBN : 9811263019
- Release Date : 04 January 2023
- PDF File Size : 23,8 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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