WorldCat Identities

Uhlenbeck, Karen K.

Overview
Works: 25 works in 114 publications in 3 languages and 1,553 library holdings
Genres: Conference papers and proceedings  Filmed lectures  Nonfiction films 
Roles: Editor, Author, Honoree, Dedicatee, Other, edi
Classifications: QA613.2, 514.3
Publication Timeline
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Most widely held works by Karen K Uhlenbeck
Instantons and four-manifolds by Daniel S Freed( Book )

19 editions published between 1984 and 1991 in English and held by 596 WorldCat member libraries worldwide

This book is the outcome of a seminar organized by Michael Freedman and Karen Uhlenbeck (the senior author) at the Mathematical Sciences Research Institute in Berkeley during its first few months of existence. Dan Freed (the junior author) was originally appointed as notetaker. The express purpose of the seminar was to go through a proof of Simon Donaldson's Theorem, which had been announced the previous spring. Donaldson proved the nonsmoothability of certain topological four-manifolds; a year earlier Freedman had constructed these manifolds as part of his solution to the four dimensional ; Poincare conjecture. The spectacular application of Donaldson's and Freedman's theorems to the existence of fake 1R4,s made headlines (insofar as mathematics ever makes headlines). Moreover, Donaldson proved his theorem in topology by studying the solution space of equations the Yang-Mills equations which come from ultra-modern physics. The philosophical implications are unavoidable: we mathematicians need physics! The seminar was initially very well attended. Unfortunately, we found after three months that we had covered most of the published material, but had made little real progress towards giving a complete, detailed proof. Mter joint work extending over three cities and 3000 miles, this book now provides such a proof. The seminar bogged down in the hard analysis (56 59), which also takes up most of Donaldson's paper (in less detail). As we proceeded it became clear to us that the techniques in partial differential equations used in the proof differ strikingly from the geometric and topological material
Geometry and quantum field theory by Summer School on the Geometry and Topology of Manifolds and Quantum Field Theory( Book )

14 editions published in 1995 in 3 languages and held by 293 WorldCat member libraries worldwide

Integral systems( Book )

1 edition published in 1998 in English and held by 118 WorldCat member libraries worldwide

Global analysis in modern mathematics : a symposium in honor of Richard Palais' sixtieth birthday by Karen K Uhlenbeck( Book )

15 editions published between 1993 and 1994 in 3 languages and held by 94 WorldCat member libraries worldwide

Regularity and Evolution of Nonlinear Equations : Essays Dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck( Book )

2 editions published in 2015 in English and held by 76 WorldCat member libraries worldwide

Integral systems : lectures on geometry and topology( Book )

6 editions published in 1998 in English and held by 54 WorldCat member libraries worldwide

Lectures on Geometry and Topology Held in Honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University, May 3-5, 2002( Book )

1 edition published in 2003 in English and held by 18 WorldCat member libraries worldwide

Applications of non-linear analysis in topology by Karen K Uhlenbeck( Visual )

6 editions published in 1990 in English and held by 16 WorldCat member libraries worldwide

Videotaped lecture on non-linear theories by Karen Uhlenbeck from the University of Texas, Austin
Surveys in differential geometry : lectures on geometry and topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University, May 3-5, 2002 by Conference on Geometry and Topology( Book )

3 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide

The calculus of variations and global analysis by Karen K Uhlenbeck( )

2 editions published in 1968 in English and held by 4 WorldCat member libraries worldwide

Instantony i četyrechmernye mnogoobrazija by Daniel S Freed( Book )

3 editions published in 1988 in Russian and held by 4 WorldCat member libraries worldwide

Instantons and Four-Manifolds by Daniel S Freed( )

1 edition published in 1984 in English and held by 3 WorldCat member libraries worldwide

Surveys in differential geometry( Book )

1 edition published in 2015 in English and held by 3 WorldCat member libraries worldwide

Regularity of minimizing harmonic maps into the sphere by Calif.) Mathematical Sciences Research Institute (Berkeley( Book )

2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide

Surveys in differential geometry( Book )

in English and held by 2 WorldCat member libraries worldwide

Moduli spaces of singular Yamabe metrics by Calif.) Mathematical Sciences Research Institute (Berkeley( Book )

2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide

Integrable systems( Book )

2 editions published in 2010 in English and held by 2 WorldCat member libraries worldwide

 
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Audience level: 0.69 (from 0.57 for Integral s ... to 0.99 for Uhlenbeck, ...)

Geometry and quantum field theory
Alternative Names
Karen Uhlenbeck American mathematician

Karen Uhlenbeck Amerikaans wiskundige

Karen Uhlenbeck matematica statunitense

Karen Uhlenbeck matemático, juez estadounidense

Karen Uhlenbeck US-amerikanische Mathematikerin

Uhlenbeck, K.

Uhlenbeck, K. 1942-

Uhlenbeck, K. (Karen)

Uhlenbeck, Karen.

Uhlenbeck, Karen 1942-

Uhlenbeck, Karen Keskulla

Uhlenbeck, Karen Keskulla 1942-

Ulenbek, K.

Ulenbek, Karen.

Карен Уленбек американский математик

קארן אולנבק

كارين يوهلينبيك

キャレン・アーレンベック

Languages
Covers
Integral systemsIntegral systems : lectures on geometry and topologySurveys in differential geometry: integral systems : lectures on geometry and topology, sponsored by Lehigh University's Journal of differential geometrySurveys in differential geometry