Freedman, Michael H. 1951
Overview
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
 Talks on the medal and prize winners( Visual )
 Addresses on the work of 1986 Fields medalists and Nevanlinna prize winner( Visual )
 [Michael Freedman] : artist file by Michael Freedman( )
Most widely held works by
Michael H Freedman
Topology of 4manifolds 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
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 lowdimensional topology by
Michael H Freedman(
Book
)
17 editions published between 1989 and 1999 in English and held by 360 WorldCat member libraries worldwide
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
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
2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide
The topology of fourdimensional manifolds by
Michael H Freedman(
Book
)
in English and held by 1 WorldCat member library worldwide
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
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 nonzero whenever x is nonzero. 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 4manifolds, nor can they distinguish smoothly scobordant 4manifolds. 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 3dimensional ChernSimons theory appears to be wellencoded within 2dimensional quantum physics, eg in the fractional quantum Hall effect, DonaldsonSeibergWitten theory cannot be captured by a 3dimensional 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
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 nonzero whenever x is nonzero. 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 4manifolds, nor can they distinguish smoothly scobordant 4manifolds. 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 3dimensional ChernSimons theory appears to be wellencoded within 2dimensional quantum physics, eg in the fractional quantum Hall effect, DonaldsonSeibergWitten theory cannot be captured by a 3dimensional 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
Codimension2 surgery by
Michael H Freedman(
)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Problemsolving 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
ProblemSolving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads contains theorems of particular value for the solution of Olympiadcaliber 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 stepbystep 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 problemsolving competitions including two gold medals at the PanHellenic 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 ETHZürich. At the age of 22, he authored the book ProblemSolving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads  Foreword by Preda Mihăilescu (Springer, 2011), ISBN: 9781441904942
1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide
ProblemSolving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads contains theorems of particular value for the solution of Olympiadcaliber 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 stepbystep 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 problemsolving competitions including two gold medals at the PanHellenic 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 ETHZürich. At the age of 22, he authored the book ProblemSolving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads  Foreword by Preda Mihăilescu (Springer, 2011), ISBN: 9781441904942
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
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
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Useful Links
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 USamerikanischer Mathematiker
Michael Hartley Freedman
Майкл Фрідман
Фридман, Майкл
מייקל פרידמן
مايكل فريدمان
مائیکل فریڈمین
مایکل فریدمن ریاضیدان آمریکایی
মাইকেল ফ্রিডম্যান
마이클 프리드먼
マイケル・フリードマン
麥可·弗里德曼
Languages
Covers