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Keyword

loop spaces

Description: Loop spaces are spaces of continuous maps from a circle to a topological space, often studied in algebraic topology and geometry.
Wikidata ID: wiki/Q2066070
OpenAlex ID: keywords/loop-spaces
Loop Spaces, Characteristic Classes and Geometric Quantization
1993 · Jean-Luc Brylinski · Birkhäuser Boston eBooks · 747
Gauge fields as rings of glue
1980 · A.M. Polyakov · Nuclear Physics B · 689
Symplectic fixed points and holomorphic spheres
1989 · Andreas Floer · Communications in Mathematical Physics · 451
The index of the dirac operator in loop space
1988 · Edward Witten · Lecture notes in mathematics · 310
Configuration-spaces and iterated loop-spaces
1973 · Graeme Segal · Inventiones mathematicae · 295
An application of the Morse theory to the topology of Lie-groups
1956 · Raoul Bott · Bulletin de la Société mathématique de France · 281
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Transversality in elliptic Morse theory for the symplectic action
1995 · Andreas Floer, Helmut Hofer, et al. · Duke Mathematical Journal · 267
String Topology
1999 · Chas, Moira, Sullivan, Dennis · arXiv (Cornell University) · 259
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Floer homology and Novikov rings
1995 · Helmut Hofer, Dietmar A. Salamon · Birkhäuser Basel eBooks · 258
Integral transforms and Drinfeld centers in derived algebraic geometry
2010 · David Ben-Zvi, John Francis, et al. · Journal of the American Mathematical Society · 251
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Complements of Discriminants of Smooth Maps: Topology and Applications
1992 · V. A. Vasil’ev · Medical Entomology and Zoology · 251
Iterated Integrals of Differential Forms and Loop Space Homology
1973 · Kuo-Tsai Chen · Annals of Mathematics · 240
Homology of Iterated Loop Spaces
1962 · Eldon Dyer, R. K. Lashof · American Journal of Mathematics · 217
The space of loops on a Lie group.
1958 · Raoul Bott · The Michigan Mathematical Journal · 201
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Selfdual strings and loop space Nahm equations
2012 · Andreas Gustavsson · 199
A homotopy theoretic realization of string topology
2002 · R.L. Cohen, J.D.S. Jones · Mathematische Annalen · 192
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Selfdual strings and loop space Nahm equations
2008 · Andreas Gustavsson · Journal of High Energy Physics · 188
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Torsion in Homotopy Groups
1979 · F. R. Cohen, J. C. Moore, et al. · Annals of Mathematics · 184
A relative morse index for the symplectic action
1988 · Andreas Floer · Communications on Pure and Applied Mathematics · 172
Trunks and classifying spaces
1995 · Roger Fenn, Colin Rourke, et al. · Applied Categorical Structures · 168
On the existence of collisionless equivariant minimizers for the classical n-body problem
2004 · Davide L. Ferrario, Susanna Terracini · 161
On the chain algebra of a loop space
1956 · J. F. Adams, P. J. Hilton · Commentarii Mathematici Helvetici · 160
Elliptic Curves and Modular Forms in Algebraic Topology
1988 · Landweber, Peter · Lecture notes in mathematics · 159
Instantons in two and four dimensions
1984 · M. F. Atiyah · Communications in Mathematical Physics · 158
Homotopy Fixed-point Methods for Lie Groups and Finite Loop Spaces
1994 · W. G. Dwyer, C. W. Wilkerson · Annals of Mathematics · 155
Works count: 1,992
Citation count: 21,740
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