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## Phillips, Anthony V.

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 Author ID: phillips.anthony-v Published as: Phillips, Anthony; Phillips, Anthony V.; Phillips, A.; Phillips, A. V. Homepage: http://www.math.stonybrook.edu/~tony/ External Links: MGP
 Documents Indexed: 25 Publications since 1967, including 2 Books
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#### Co-Authors

 8 single-authored 10 Stone, David A. 3 Chas, Moira 1 Bestvina, Mladen 1 Burago, Dmitri 1 Dupont, Johan L. 1 Eliashberg, Yakov Matveevich 1 Forstnerič, Franc 1 Goldberg, Lisa Robin 1 Guth, Lawrence David 1 McMullen, Curtis Tracy 1 Nabutovsky, Alexander 1 Retakh, Vladimir Solomonovich 1 Roe, John 1 Roitman, Judith 1 Saul, Mark E. 1 Sullivan, Dennis Parnell 1 Vershik, Anatoliĭ Moiseevich
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#### Serials

 3 Communications in Mathematical Physics 3 Nuclear Physics, B, Proceedings Supplements 2 Commentarii Mathematici Helvetici 2 Topology 2 Notices of the American Mathematical Society 2 Experimental Mathematics 2 Bulletin of the American Mathematical Society 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Annals of Physics
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#### Fields

 11 Manifolds and cell complexes (57-XX) 9 Quantum theory (81-XX) 5 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

16 Publications have been cited 125 times in 100 Documents Cited by Year
Submersions of open manifolds. Zbl 0204.23701
Phillips, A.
1967
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
1981
Lattice gauge fields, principal bundles and the calculation of topological charge. Zbl 0597.53065
Phillips, Anthony; Stone, David
1986
Smooth maps transverse to a foliation. Zbl 0198.28404
Phillips, A.
1970
Characteristic numbers of $$U_ 1$$-valued lattice gauge fields. Zbl 0579.58039
Phillips, Anthony
1985
Foliations on open manifolds. II. Zbl 0179.52003
Phillips, A.
1969
Foliations on open manifolds. I. Zbl 0157.30503
Phillips, Anthony
1968
Smooth maps of constant rank. Zbl 0295.57015
Phillips, Anthony
1974
Self-intersection numbers of curves on the punctured torus. Zbl 1200.57001
Chas, Moira; Phillips, Anthony
2010
The computation of characteristic classes of lattice gauge fields. Zbl 0718.55012
Phillips, Anthony V.; Stone, David A.
1990
A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017
Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A.
2014
Self-intersection numbers of curves in the doubly punctured plane. Zbl 1241.57002
Chas, Moira; Phillips, Anthony
2012
Abelian monopoles in $$\text{SU}_2$$-valued lattice gauge-Higgs systems. Zbl 0957.81539
Phillips, Anthony V.; Stone, David A.
1990
Chih-Han Sah (1934-1997). Zbl 0908.01034
Dupont, Johan; Phillips, Anthony; Retakh, Vladimir; Roitman, Judith; Saul, Mark
1998
The Chern-Simons character of a lattice gauge field. Zbl 0837.57013
Phillips, Anthony V.; Stone, David A.
1993
Chern-Simons on a lattice. Zbl 0957.81565
Phillips, A. V.; Stone, D. A.
1991
A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017
Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A.
2014
Self-intersection numbers of curves in the doubly punctured plane. Zbl 1241.57002
Chas, Moira; Phillips, Anthony
2012
Self-intersection numbers of curves on the punctured torus. Zbl 1200.57001
Chas, Moira; Phillips, Anthony
2010
Chih-Han Sah (1934-1997). Zbl 0908.01034
Dupont, Johan; Phillips, Anthony; Retakh, Vladimir; Roitman, Judith; Saul, Mark
1998
The Chern-Simons character of a lattice gauge field. Zbl 0837.57013
Phillips, Anthony V.; Stone, David A.
1993
Chern-Simons on a lattice. Zbl 0957.81565
Phillips, A. V.; Stone, D. A.
1991
The computation of characteristic classes of lattice gauge fields. Zbl 0718.55012
Phillips, Anthony V.; Stone, David A.
1990
Abelian monopoles in $$\text{SU}_2$$-valued lattice gauge-Higgs systems. Zbl 0957.81539
Phillips, Anthony V.; Stone, David A.
1990
Lattice gauge fields, principal bundles and the calculation of topological charge. Zbl 0597.53065
Phillips, Anthony; Stone, David
1986
Characteristic numbers of $$U_ 1$$-valued lattice gauge fields. Zbl 0579.58039
Phillips, Anthony
1985
Geometry of leaves. Zbl 0454.57016
Phillips, Anthony; Sullivan, Dennis
1981
Smooth maps of constant rank. Zbl 0295.57015
Phillips, Anthony
1974
Smooth maps transverse to a foliation. Zbl 0198.28404
Phillips, A.
1970
Foliations on open manifolds. II. Zbl 0179.52003
Phillips, A.
1969
Foliations on open manifolds. I. Zbl 0157.30503
Phillips, Anthony
1968
Submersions of open manifolds. Zbl 0204.23701
Phillips, A.
1967
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#### Cited by 116 Authors

 9 Phillips, Anthony V. 5 Stone, David A. 4 Chas, Moira 4 Saeki, Osamu 3 Arredondo, John Alexander 3 Datta, Mahuya 3 Forstnerič, Franc 3 Maluendas, Camilo Ramírez 3 Thomas, Paul Emery 2 Ando, Yoshifumi 2 Bugajska, Krystyna M. 2 Dadarlat, Marius 2 Feit, S. D. 2 Fuchs, Dmitry Borisovich 2 Galatius, Søren 2 Grimaldi, Renata 2 Jacobowitz, Howard 2 Lawson, Herbert Blaine jun. 2 Michelsohn, Marie-Louise 2 Mukherjee, Amiya 2 Schultz, Reinhard E. 2 Schweitzer, Paul A. 1 Abouzaid, Mohammed 1 Ako, Mitsue 1 Akyar, Bedia 1 Alcalde Cuesta, Fernando 1 Álvarez Gavela, Daniel 1 Balachandran, Aiyalam P. 1 Bertelson, Mélanie 1 Bierstone, Edward 1 Bimonte, Giuseppe 1 Bloch, Ethan D. 1 Candel, Alberto 1 Chamseddine, Ali Hani 1 Connes, Alain 1 D’Ambra, Giuseppina 1 Dauphin, A. 1 de Almeida, Sebastião Carneiro 1 du Plessis, Andrew Allan 1 Ebert, Johannes Felix 1 Eliashberg, Yakov Matveevich 1 Elliott, Joshua W. 1 Fujiwara, Takanori 1 Gauld, David B. 1 Gauthier, Paul M. 1 Genauer, Josh 1 Göckeler, Meinulf 1 Gottlieb, Daniel Henry 1 Greene, Robert Everist 1 Gromov, Mikhael Leonidovich 1 Hindley, Roger 1 Holopainen, Ilkka 1 Huebschmann, Johannes 1 Igarashi, Hiroshi 1 Inaba, Takashi 1 Islam, Md Rabiul 1 Izumiya, Shyuichi 1 Kapovich, Michael 1 Kollár, János 1 Lalley, Steven P. 1 Landi, Giovanni 1 Landweber, Peter S. 1 Laudenbach, François 1 Laursen, M. L. 1 Li, Banghe 1 Li, Guisong 1 Li, Keren 1 Liang, Chao-Chu 1 Lizzi, Fedele 1 Lozano Rojo, Alvaro 1 Macho-Stadler, Marta 1 Madsen, Ib Henning 1 Manton, Nicholas S. 1 Martin-Delgado, Miguel Angel 1 Maskit, Bernard 1 McMullen, Curtis Tracy 1 Meniño Cotón, Carlos 1 Mishachev, Nikolai M. 1 Moore, Guy D. 1 Moussu, Robert 1 Mukhanov, Viatcheslav F. 1 Mukherjee, Sauvik 1 Narayanan, Rajamani S. 1 Neuberger, Herbert 1 Nishimori, Toshiyuki 1 Ohmoto, Toru 1 Okuyama, Kiyoshi 1 Paramonov, Peter V. 1 Passante, Giancarlo 1 Pierce, John F. 1 Randal-Williams, Oscar 1 Rickman, Seppo Uolevi 1 Roussarie, Robert 1 Sadykov, Rustam 1 Sakuma, Kazuhiro 1 Schafer, Thomas 1 Schierholz, Gerrit 1 Shiohama, Katsuhiro 1 Shuryak, Edward V. 1 Slapar, Marko ...and 16 more Authors
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#### Cited in 53 Serials

 7 Bulletin of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Communications in Mathematical Physics 5 Inventiones Mathematicae 5 Topology and its Applications 4 Proceedings of the American Mathematical Society 4 Algebraic & Geometric Topology 3 Acta Mathematica 3 Mathematische Zeitschrift 3 Geometry & Topology 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Journal of Soviet Mathematics 2 Differential Geometry and its Applications 2 Experimental Mathematics 2 Nuclear Physics, B, Proceedings Supplements 2 Journal of High Energy Physics 2 Journal of Topology and Analysis 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Reviews of Modern Physics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentationes Mathematicae Universitatis Carolinae 1 Publications Mathématiques 1 Journal of Algebra 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematica Slovaca 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Computer Science 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Potential Analysis 1 New Journal of Physics 1 Journal of the European Mathematical Society (JEMS) 1 Physical Review Letters 1 Kodai Mathematical Seminar Reports 1 Journal of Noncommutative Geometry 1 Journal of Homotopy and Related Structures 1 Journal of Singularities
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#### Cited in 25 Fields

 52 Manifolds and cell complexes (57-XX) 31 Differential geometry (53-XX) 22 Global analysis, analysis on manifolds (58-XX) 18 Algebraic topology (55-XX) 16 Quantum theory (81-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Algebraic geometry (14-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Category theory; homological algebra (18-XX) 3 $$K$$-theory (19-XX) 3 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX)