# Knots, braids, and mapping class groups--papers dedicated to Joan S. Birman

proceedings of a conference on low dimensional topology in honor of Joan S. Birman"s 70th birthday, March 14-15, 1998, Columbia University, New York, New York

Publisher: American Mathematical Society in Providence, RI

Written in English
Published: Pages: 176 Downloads: 109
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## Subjects:

• Low-dimensional topology -- Congresses.

## Edition Notes

Includes bibliographical references.

Classifications The Physical Object Statement Jane Gilman, William W. Menasco, and Xiao-Song Lin, editors. Genre Congresses. Series AMS/IP studies in advanced mathematics -- v. 24 Contributions Birman, Joan S., 1927-, Gilman, Jane, 1945-, Menasco, William W., 1954-, Lin, Xiao-song, 1957- LC Classifications QA612.14 .K58 2001 Pagination xxii, 176 p. : Number of Pages 176 Open Library OL21494436M ISBN 10 0821829661

Knots, Braids and Mapping Class Groups - Papers Dedicated to Joan S. Birman (editors Gilman, Menasco, and Lin), 85 AMS/IP Studies in Advanced Mathematics () • On knot invariants which are not of finite type (with Rolland Trapp). Knots. Knots, Braids, and Mapping Class Groups: Papers dedicated to Professor Joan Birman, Ed. J. Gilman, W. Menasco, and X.-S. Lin, International Press. (with X. Zhang) Notes on Tangles, 2-Handle Additions And Exceptional Dehn Fillings, preprint , to appear in Pacific Journal of Mathematics. "The Head and Tail of the Colored Jones Polynomial for Adequate Knots" with Cody Armond: arXiv Proc. AMS., (), No. 3, Knots, braids, and mapping class groups-papers dedicated to Joan S. Birman (New York, ). Abstract. We investigate Ihara-Selberg zeta functions of Cayley graphs for the Heisenberg group over finite rings ℤ/p n ℤ, where p is a prime. In order to do this, we must compute the Galois group of the covering obtained by reducing coordinates in ℤ/p n+1 ℤ modulo p n+ Ihara-Selberg zeta functions of the Heisenberg graph mod p n+1 factor as a product of Artin L-functions.

In this first of two papers, we develop a steady-state version of classical electrodynamics on the 3-sphere and in hyperbolic 3-space, including an explicit formula for the vector-valued Green’s operator, an explicit formula of Biot–Savart type for the magnetic field, and a corresponding Ampere’s law contained in Maxwell’s equations. We then use this to obtain explicit integral. Knots, braids, and mapping class groups--papers dedicated to Joan S. Birman: proceedings of a conference on low dimensional topology in honor of Joan S. Birman's 70th birthday, March , , Columbia University, New York, New York / Jane Gilman, . These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter . Rowell), J. of Knot Theory and Its Ramiﬁcations, vol. 15, no. 4 (), , Topologization of electron liquids with Chern-Simons theory and quantum computation, Nankai.

We construct an embedding of any right-angled Artin group G(Δ) defined by a graph Δ into a graph braid group. The number of strands required for the braid group is equal to the chromatic number of Δ. This construction yields an example of a hyperbolic surface subgroup embedded in a two strand planar graph braid .

## Knots, braids, and mapping class groups--papers dedicated to Joan S. Birman Download PDF EPUB FB2

Knots, braids, and mapping class groups--papers dedicated to Joan S. Birman: proceedings of a conference on low dimensional topology in honor of Joan S. Birman's 70th birthday, March, Columbia University, New York, New York Joan S.

Birman, Jane. Title (HTML): Knots, Braids, and Mapping Class Groups—Papers Dedicated to Joan S. Birman Author/Editor Label (optional): Edited by Author(s) (Product. Get this from a library.

Knots, Braids, and Mapping Class Groups-Papers Dedicated to Joan S. Birman. [Jane Gilman; William W Menasco; Xiao-Song Lin] -- There are a number of specialties in low-dimensional topology that can find in their "family tree" a common ancestry in the theory of surface mappings. These include knot theory as studied through.

Knots, Braids, and Mapping Class Groups--Papers Dedicated to Joan S. Birman Proceedings of a Conference in Low Dimensional Topology in Honor of Joan (Ams/Ip Studies in Advanced Mathematics) gydyd.

This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts.

An essentially self-contained homotopy theory of filtered $$A_\infty$$ algebras and $$A_\infty$$ bimodules and. Discover Book Depository's huge selection of Joan S Birman books online. Free delivery worldwide on over 20 million titles. Knots, Braids and Mapping Class Groups-papers Dedicated to Joan S.

Birman. Joan And mapping class groups--papers dedicated to Joan S. Birman book. Birman. 30 Dec Paperback. US$Add to basket. Braids. Joan S. Birman. 30 Dec Paperback. US$ Add to basket. Knots, Braids, and Mapping Class Groups—Papers Dedicated to Joan S.

Birman About this Title. Jane Gilman, Rutgers University, Newark, NJ, William W. Menasco, State University of New York, Buffalo, NY and Xiao-Song Lin, University of California, Riverside, CA, Editors.

Publication: AMS/IP Studies in Advanced Mathematics. The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology.

In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations 5/5(1). Joan S. Birman. Paperback ISBN The central theme of this study is Artin’s braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology.

Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief. This book is based on a graduate course taught by the author at the University of Maryland. The lecture notes have been revised and augmented by examples.

The first two chapters develop the elementary theory of Artin Braid groups, both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem. Birman, Joan S. Braids, links, and mapping class groups / by Joan S.

Birman Princeton University Press Princeton, N.J Wikipedia Citation Please see Wikipedia's template documentation for further citation fields that may be required. (with J. Cantarella and H. Gluck) "Upper Bounds for the Writhing of Knots and the Helicity of Vector Fields", in Knots, Braids, and Mapping Class Groups - Papers Dedicated to Joan S.

Birman, J. Gilman, X-S. Lin and W. Menasco (eds), Studies in Advanced Mathematics AMS/International Press Studies in Advanced Mathematics 24 () Joan S. Birman (Author) › Visit Amazon's Joan S. Birman Page. Find all the books, read about the author, and more. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces.

Chapter 5 contains a brief discussion of the theory of "plats." Knots, Links, Braids and 3. Birman, Joan S. Braids, Links, and Mapping Class Groups.

(AM), Volume Series: In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem.

After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems.

Chapter 4 is a. J S Birman, Braids, links, and mapping class groups, Princeton University Press, Princeton, N.J. () Mathematical Reviews (MathSciNet): MR J S Birman, E Finkelstein, Studying surfaces via closed braids, J.

Knot Theory Ramifications 7 () – Biography Joan Sylvia Lyttle parents were George and Lillian Lyttle (Birman is her married name following her marriage to Joseph L Birman).The family was Jewish.

George was born in Russia, brought up in Liverpool, England, and had emigrated to the United States when he was seventeen years of age. niny, Knots, Braids, and Mapping Class Groups--Papers Dedicated to. Authors: Joan S. Birman, Tara E.

Brendle. Download PDF Abstract: This article is about Artin's braid group and its role in knot theory. We set ourselves two goals: (i) to provide enough of the essential background so that our review would be accessible to graduate students, and (ii) to focus on those parts of the subject in which major progress.

Knot Theory, Braid Groups. Colin Adams, The Knot Book, Freeman (). Joan Birman, Braids, Links and Mapping Class Groups, Princeton University Press (). Gerhard Burde and Heiner Zieschang, Knots, De Gruyter (). Raymond Lickorish, An Introduction to Knot Theory, Springer-Verlag ().

Gilman, Jane (ed.) et al., Knots, braids, and mapping class groups - papers dedicated to Joan S. Birman Proceedings of a conference in low dimensional topology in honor of Joan S. Birman’s 70th. X.-S. Lin and Z. Wang, Random walk on knot diagrams, colored Jones polynomial and Ihara-Selberg zeta function, in Knots, Braids, and Mapping Class Groups — Papers dedicated to Joan S.

Birman, AMS/IP Studies in Advanced Mathematics, Vol. 24 (American Mathematical Society, Providence, RI, ), pp. – Google Scholar. Advances in Lorentzian Geometry by Matthias Plaue,available at Book Depository with free delivery worldwide.

Ghrist, Configuration spaces and braid groups on graphs in robotics, in Knots, Braids, and Mapping Class Groups—Papers Dedicated to Joan S. Birman AMS/IP Studies in Advanced Mathematics, Vol.

24 (American Mathematical Society, Providence, RI, ), pp. 29– Google Scholar; 6. Knots, Braids, and Mapping Class Groups--Papers Dedicated to Joan S. Birman: Proceedings of a Conference in Low Dimensional Topology in Honor of Joan S.

(Ams/Ip Studies. Knots, braids, and mapping class groups—papers dedicated to Joan S. Birman Notes on tangles, 2-handles additions and exceptional Dehn fillings Pacific Journal of Mathematics Title: Professor at SUNY-University at.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Braids, Links, and Mapping Class Groups. (AM) Joan S. Birman. Paperback. \$ Only 1 left in stock - order soon. Next. Special offers and product promotions. Amazon Business: For business-only pricing, quantity discounts and FREE Shipping. Register a free business account;Author: V.

Prasolov, A. Sossinsky. William Menasco currently works at the Department of Mathematics, University at Buffalo, The State University of New York. William does research in Algebra and Geometry and Topology. Their most. Recent publications (with R. Kleinberg) Train tracks and Zipping Sequences for Pseudo-Anosov Braids, Knot Theory and Its Solitons Fractals 9 (), no.

Closed Braids and Heegaard Splittings, preprintto appear in Knots, Braids, and Mapping Class Groups: Papers dedicated to Professor Joan Birman.[.pdf (Acrobat) version]. Braids play an important role in diverse areas of mathematics and theoretical physics.

The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces.

Unvortunatelly, I could not find it in any other paper/book (including Calegari's "scl"). And the proof in Bardakov is unclear to me. Knots, braids, and mapping class groups—papers dedicated to Joan S. Birman (New York, ), Amer.

Math. Soc., Providence, RI,77–R W Ghrist, Configuration spaces and braid groups on graphs in robotics, from: “Knots, braids, and mapping class groups–-papers dedicated to Joan S. Birman (New York, )”, (J Gilman, W W Menasco, X-S Lin, editors), AMS/IP Stud.

Adv. Math. 24, Amer. Math. Soc. () 29–  We define the mapping class group to be the quotient Mod(S) = Diff + (S)/Diff 0 (S), where Diff + (S) is the group of orientation preserving diffeomorphisms of S leaving marked points invariant and Diff 0 (S) is the component containing the identity.

It is often useful to note the natural map from Mod(S) to Out(Γ S) is injective.