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Finally, one expects that higher Franz-Reidemeister torsion can be recovered from Dwyer-Weiss-Williams torsion. It turns out that higher torsion invariants are somewhat finer than classical FR torsion, since they detect higher homotopy classes of the diffeomorphism group of high-dimensional manifolds that vanish under the forgetful map to the homeomorphism group. There are also applications of higher torsions to problems in graph theory and moduli spaces of compact surfaces. Some of these were sketched throughout this Arbeitsgemeinschaft.
The talks were grouped as follows. Stover, Christopher.
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The author defines the higher Franz-Reidemeister torsion based on Volodin's K- theory and Borel's regulator map. He describes its properties. Franz-Reidemeister torsion and its application to the construction of non- In this note I shall discuss the higher Franz-Reidemeister torsion invariants of.
Contact the MathWorld Team. Myasnikov, and V.
Grigorchuk and A. Leedham-Green and S. Binding: Softcover.
Related 5. The refined transfer, bundle structures and algebraic K-theory. Publication Timeline. Apart from publishers, distributors and wholesalers, we even list and supply books from other retailers! Email Required, but never shown.
Expected publication date is October 30, Description "Every map is a tool, a product of human effort and creativity, that represents some aspects of our world or universe It is designed to teach students to think logically and to analyze the technical information that they so readily encounter every day. Maps are exciting, visual tools that we encounter on a daily basis: from street maps to maps of the world accompanying news stories to geologic maps depicting the underground structure of the earth.
This book explores the mathematical ideas involved in creating and analyzing maps, a topic that is rarely discussed in undergraduate courses.
It is the first modern book to present the famous problem of mapping the earth in a style that is highly readable and mathematically accessible to most students. Feeman's writing is inviting to the novice, yet also interesting to readers with more mathematical experience. Through the visual context of maps and mapmaking, students will see how contemporary mathematics can help them to understand and explain the world.
Topics explored are the shape and size of the earth, basic spherical geometry, and why one can't make a perfect flat map of the planet. The author discusses different attributes that maps can have and determines mathematically how to design maps that have the desired features. The distortions that arise in making world maps are quantitatively analyzed. There is an in-depth discussion on the design of numerous map projections--both historical and contemporary--as well as conformal and equal-area maps.
Feeman looks at how basic map designs can be modified to produce maps with any center, and he indicates how to generalize methods to produce maps of arbitrary surfaces of revolution. Also included are end-of-chapter exercises and laboratory projects.