WorldCat Identities

Freedman, Michael H. 1951-

Works: 13 works in 59 publications in 2 languages and 1,191 library holdings
Roles: Author, Honoree
Classifications: QA613.2, 514.3
Publication Timeline
Most widely held works about Michael H Freedman
Most widely held works by Michael H Freedman
Topology of 4-manifolds by Michael H Freedman( Book )

19 editions published between 1990 and 2014 in English and Undetermined and held by 466 WorldCat member libraries worldwide

""Cover ""; ""Contents""; ""Introduction ""; ""Part I. Embeddings of Disks ""; ""Part II. Applications to the Structure of Manifolds ""; ""References ""; ""Index of Notation ""; ""Index of Terminology
Selected applications of geometry to low-dimensional topology by Michael H Freedman( Book )

17 editions published between 1989 and 1999 in English and held by 360 WorldCat member libraries worldwide

Surgery on codimension 2 submanifolds by Michael H Freedman( Book )

12 editions published in 1977 in English and Undetermined and held by 222 WorldCat member libraries worldwide

Proceedings of the Freedmanfest : [Michael Hartley Freedman, 60 years, 21st April 2011]( Book )

2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide

The topology of four-dimensional manifolds by Michael H Freedman( Book )

in English and held by 1 WorldCat member library worldwide

Effect of Altitude Exposure on Platelets( Book )

1 edition published in 1974 in English and held by 1 WorldCat member library worldwide

Universal manifold pairings and positivity by Michael H Freedman( )

1 edition published in 2005 in Undetermined and held by 1 WorldCat member library worldwide

Gluing two manifolds M_1 and M_2 with a common boundary S yields a closed manifold M. Extending to formal linear combinations x=Sum_i(a_i M_i) yields a sesquilinear pairing p=<,> with values in (formal linear combinations of) closed manifolds. Topological quantum field theory (TQFT) represents this universal pairing p onto a finite dimensional quotient pairing q with values in C which in physically motivated cases is positive definite. To see if such a "unitary" TQFT can potentially detect any nontrivial x, we ask if is non-zero whenever x is non-zero. If this is the case, we call the pairing p positive. The question arises for each dimension d=0,1,2,.... We find p(d) positive for d=0,1, and 2 and not positive for d=4. We conjecture that p(3) is also positive. Similar questions may be phrased for (manifold, submanifold) pairs and manifolds with other additional structure. The results in dimension 4 imply that unitary TQFTs cannot distinguish homotopy equivalent simply connected 4-manifolds, nor can they distinguish smoothly s-cobordant 4-manifolds. This may illuminate the difficulties that have been met by several authors in their attempts to formulate unitary TQFTs for d=3+1. There is a further physical implication of this paper. Whereas 3-dimensional Chern-Simons theory appears to be well-encoded within 2-dimensional quantum physics, eg in the fractional quantum Hall effect, Donaldson-Seiberg-Witten theory cannot be captured by a 3-dimensional quantum system. The positivity of the physical Hilbert spaces means they cannot see null vectors of the universal pairing; such vectors must map to zero
Codimension-2 surgery by Michael H Freedman( )

1 edition published in 1973 in English and held by 1 WorldCat member library worldwide

Problem-solving and selected topics in Euclidean geometry : in the spirit of the Mathematical Olympiads by Sotirios E Louridas( )

1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide

Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads contains theorems of particular value for the solution of Olympiad-caliber problems in Euclidean Geometry. Selected geometric problems, which have been given in International Mathematical Olympiads (IMO) or proposed in short lists in IMO, are discussed. Additionally, a number of new problems proposed by leading mathematicians in the subject with their step-by-step solutions are presented. The book teaches mathematical thinking through Geometry and provides inspiration for both students and teachers. From the Foreword: " ... Young people need such texts, grounded in our shared intellectual history and challenging them to excel and create a continuity with the past. Geometry has seemed destined to give way in our modern computerized world to algebra. As with Michael Th. Rassias' previous homonymous book on number theory, it is a pleasure to see the mental discipline of the ancient Greeks so well represented to a youthful audience."--Michael H. Freedman (Fields Medal in Mathematics, 1986) Sotirios E. Louridas has studied Mathematics at the University of Patras, Greece. He has been an active member of the Greek Mathematical Society for several years both as a problem poser and a coach of the Greek Mathematical Olympiad team. He has authored in Greek, a number of books in Mathematics. Michael Th. Rassias has received several awards in mathematical problem-solving competitions including two gold medals at the Pan-Hellenic Mathematical Olympiads of 2002 and 2003 (Athens, Greece), a silver medal at the Balkan Mathematical Olympiad of 2002 (Targu Mures, Romania) and a silver medal at the 44th International Mathematical Olympiad of 2003 (Tokyo, Japan). He holds a Diploma from the School of Electrical and Computer Engineering of the National Technical University of Athens and a Master of Advanced Study in Mathematics from the University of Cambridge. He is currently a PhD student in Mathematics at ETH-Zürich. At the age of 22, he authored the book Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads - Foreword by Preda Mihăilescu (Springer, 2011), ISBN: 978-1-4419-0494-2
Z(2)-Systolic Freedom and Quantum Codes( )

1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide

This document is a report of the Z(2)-Systolic Freedom and Quantum Codes
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Audience level: 0.62 (from 0.51 for Problem-so ... to 1.00 for Effect of ...)

Topology of 4-manifolds
Alternative Names
Freedman, M. H.

Freedman, Michael

Freedman, Michael 1951-

Freedman, Michael Hartley 1951-

Hartley Freedman Michael

Maikls Frīdmens

Michael Freedman Amerikaans wiskundige

Michael Freedman amerikansk matematikar

Michael Freedman amerikansk matematiker

Michael Freedman matematico statunitense

Michael Freedman mathématicien américain

Michael Freedman US-amerikanischer Mathematiker

Michael Hartley Freedman

Майкл Фрідман

Фридман, Майкл

מייקל פרידמן

مايكل فريدمان

مائیکل فریڈمین

مایکل فریدمن ریاضی‌دان آمریکایی

মাইকেল ফ্রিডম্যান

마이클 프리드먼