Groups and Manifolds from Triangulated Polyhedra - Connections between topology, knots and group theory

The main topic of the book is the topology and geometry of 3-manifolds with a specific focus on their algebraic invariants. Some three dimensional manifolds are constructed by a polyhedral scheme, and they are represented in different ways, as combinatorial diagrams or as branched coverings over knots or links. Motivations for this kind of studies come from different subjects: topology of 3-manifolds and knot theory are key tools in many research fields, as biology, molecular chemistry, engineering and astrophysics.

About the author

Agnese Ilaria Telloni is PhD in Mathematics and teaches Geometry in the Engineering Faculty of University of Modena and in the Polytechnic University in Ancona. She won the L'Oréal Italia-UNESCO for Women in Science Fellowship in 2011. Her research interests are focused on topology and geometry of 3-manifolds and epistemology of mathematics.

Product details

• Authors: Agnese Ilaria Telloni
• Publisher: LAP Lambert Academic Publishing
• Languages: English, German
• Product format: Paperback / Softback
• Released: 13.11.2012
• EAN: 9783659292095
• ISBN: 978-3-659-29209-5
• No. of pages: 84
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry