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Farber, Michael S.

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Author ID: farber.michael-s Recent zbMATH articles by "Farber, Michael S."
Published as: Farber, M.; Farber, M. S.; Farber, M. Sh.; Farber, M. Š.; Farber, Michael; Farber, Michael S.
Homepage: http://www.maths.qmul.ac.uk/people/mfarber
External Links: MGP · Math-Net.Ru
Documents Indexed: 131 Publications since 1975, including 4 Books
Reviewing Activity: 144 Reviews
all top 5

Serials

7 Russian Mathematical Surveys
6 Algebraic & Geometric Topology
5 Transactions of the American Mathematical Society
5 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
4 Soviet Mathematics. Doklady
4 Topology
4 Journal of Topology and Analysis
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Proceedings of the American Mathematical Society
3 Topology and its Applications
3 Discrete & Computational Geometry
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Communications in Contemporary Mathematics
2 Israel Journal of Mathematics
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Commentarii Mathematici Helvetici
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Annals of Global Analysis and Geometry
2 \(K\)-Theory
2 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR
2 Journal of Knot Theory and its Ramifications
2 Oberwolfach Reports
2 Contemporary Mathematics
1 Doklady Akademii Nauk SSSR
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Journal of Differential Geometry
1 Manuscripta Mathematica
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Mathematics of the USSR. Izvestiya
1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
1 Ergodic Theory and Dynamical Systems
1 Forum Mathematicum
1 Random Structures & Algorithms
1 Differential Geometry and its Applications
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Automation and Remote Control
1 L’Enseignement Mathématique. 2e Série
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Mathematics of the USSR, Sbornik
1 Topological Methods in Nonlinear Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Geometry & Topology
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Homology, Homotopy and Applications
1 Journal of the Australian Mathematical Society
1 Mathematical Surveys and Monographs
1 Transactions of the London Mathematical Society
1 Zurich Lectures in Advanced Mathematics

Publications by Year

Citations contained in zbMATH

105 Publications have been cited 888 times in 459 Documents Cited by Year
Topological complexity of motion planning. Zbl 1038.68130
Farber, Michael
117
2003
Invitation to topological robotics. Zbl 1148.55011
Farber, Michael
79
2008
Instabilities of robot motion. Zbl 1106.68107
Farber, Michael
43
2004
Topological robotics: Motion planning in projective spaces. Zbl 1030.68089
Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey
39
2003
Topology of closed one-forms. Zbl 1052.58016
Farber, Michael
36
2004
Topology of robot motion planning. Zbl 1089.68131
Farber, Michael
25
2006
Topology of random 2-complexes. Zbl 1237.55009
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
22
2012
Homology of planar polygon spaces. Zbl 1132.52024
Farber, M.; Schütz, D.
21
2007
Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020
Farber, Michael; Turaev, Vladimir
21
2000
Geometry of growth: approximation theorems for \(L^2\) invariants. Zbl 0911.53026
Farber, Michael
21
1998
Robot motion planning, weights of cohomology classes, and cohomology operations. Zbl 1151.55004
Farber, Michael; Grant, Mark
17
2008
Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038
Farber, Michael; Tabachnikov, Serge
15
2002
Topological robotics: subspace arrangements and collision free motion planning. Zbl 1088.68171
Farber, Michael; Yuzvinsky, Sergey
14
2004
Random groups arising as graph products. Zbl 1280.20046
Charney, Ruth; Farber, Michael
13
2012
On the conjecture of Kevin Walker. Zbl 1177.55008
Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk
13
2009
Motion planning in spaces with small fundamental groups. Zbl 1215.55001
Costa, Armindo; Farber, Michael
12
2010
Symmetric motion planning. Zbl 1143.70013
Farber, Michael; Grant, Mark
12
2007
Homological algebra of Novikov-Shubin invariants and Morse inequalities. Zbl 0866.57026
Farber, M. S.
12
1996
Exactness of the Novikov inequalities. Zbl 0603.58030
Farber, M. Sh.
12
1985
Topology of configuration space of two particles on a graph. I. Zbl 1171.55007
Barnett, Kathryn; Farber, Michael
11
2009
The Cohn localization of the free group ring. Zbl 0767.16006
Farber, M.; Vogel, P.
11
1992
Topological complexity of configuration spaces. Zbl 1172.55006
Farber, Michael; Grant, Mark
10
2009
Topology of random linkages. Zbl 1135.55009
Farber, Michael
10
2008
Hermitian forms on link modules. Zbl 0733.57013
Farber, M.
9
1991
Configuration spaces and robot motion planning algorithms. Zbl 1402.55002
Farber, Michael
8
2018
Topology of random right angled Artin groups. Zbl 1218.57001
Costa, Armindo; Farber, Michael
8
2011
Betti numbers of random manifolds. Zbl 1136.55014
Farber, Michael; Kappeler, Thomas
8
2008
Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory. Zbl 1098.57020
Farber, Michael
8
2002
Von Neumann categories and extended \(L^2\)-cohomology. Zbl 0916.18007
Farber, Michael
8
1998
Morse theory of harmonic forms. Zbl 0911.58001
Farber, Michael; Katz, Gabriel; Levine, Jerome
8
1998
Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031
Carey, A.; Farber, M.; Mathai, V.
8
1997
Isotopy types of knots of codimension two. Zbl 0513.57007
Farber, M. Sh.
8
1980
Random simplicial complexes. Zbl 1398.55011
Costa, Armindo; Farber, Michael
7
2016
Large random simplicial complexes. I. Zbl 1339.05440
Costa, A.; Farber, M.
7
2016
Absolute torsion. Zbl 0934.57030
Farber, Michael; Turaev, Vladimir
7
1999
Novikov type inequalities for differential forms with non-isolated zeros. Zbl 0894.58012
Braverman, Maxim; Farber, Michael
7
1997
Noncommutative rational functions and boundary links. Zbl 0734.57005
Farber, Michael
7
1992
Topics of stochastic algebraic topology. Zbl 1347.05225
Costa, A. E.; Farber, M.; Kappeler, T.
6
2012
Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles. Zbl 1143.55300
Farber, Michael; Grant, Mark; Yuzvinsky, Sergey
6
2007
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
6
2005
Topology of billiard problems. II. Zbl 1013.37034
Farber, Michael
6
2002
Absolute torsion and eta-invariant. Zbl 0955.57022
Farber, M.
6
2000
Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants). Zbl 0867.57027
Farber, Michael S.; Levine, Jerome P.
6
1996
An algebraic classification of some even-dimensional spherical knots. I. Zbl 0536.57009
Farber, M. Š.
6
1984
Dualität in einer unendlichen zyklischen Überdeckung und geraddimensionale Knoten. Zbl 0366.55003
Farber, M. S.
6
1977
Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011
Costa, A.; Farber, M.
5
2017
Geometry and topology of random 2-complexes. Zbl 1330.55016
Costa, A. E.; Farber, M.
5
2015
Topological complexity of collision-free motion planning on surfaces. Zbl 1218.55004
Cohen, Daniel C.; Farber, Michael
5
2011
Topology of billiard problems. I. Zbl 1013.37033
Farber, Michael
5
2002
On the zero-in-the-spectrum conjecture. Zbl 0992.58012
Farber, Michael; Weinberger, Shmuel
5
2001
Witten deformation and polynomial differential forms. Zbl 0988.58009
Farber, Michael; Shustin, Eugenii
5
2000
The Morse-Novikov theory of circle-valued functions and noncommutative localization. Zbl 0983.58007
Farber, M.; Ranicki, A.
5
1999
Higher topological complexity of aspherical spaces. Zbl 1412.55003
Farber, Michael; Oprea, John
4
2019
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
4
2019
Large random simplicial complexes. II: The fundamental group. Zbl 1378.55011
Costa, A.; Farber, M.
4
2017
Fundamental groups of clique complexes of random graphs. Zbl 1309.05159
Costa, Armindo; Farber, Michael; Horak, Danijela
4
2015
The topology of spaces of polygons. Zbl 1300.55022
Farber, Michael; Fromm, Viktor
4
2013
The Walker conjecture for chains in \(\mathbb R^{d}\). Zbl 1257.55011
Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk
4
2011
Topology of configuration space of two particles on a graph. II. Zbl 1215.55006
Farber, Michael; Hanbury, Elizabeth
4
2010
Topology of closed 1-forms and their critical points. Zbl 0977.58011
Farber, Michael
4
2001
Singularities of the analytic torsion. Zbl 0838.58038
Farber, Michael S.
4
1995
The asphericity of random 2-dimensional complexes. Zbl 1372.57009
Costa, A. E.; Farber, M.
3
2015
Moving homology classes to infinity. Zbl 1158.55005
Farber, Michael; Schütz, Dirk
3
2007
Lusternik-Schnirelman theory and dynamics. Zbl 1029.58006
Farber, Michael
3
2002
Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052
Farber, Michael; Tabachnikov, Serge
3
2002
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
Novikov inequalities with symmetry. Zbl 0863.57028
Braverman, Maxim; Farber, Michael
3
1996
Stable-homotopy and homology invariants of boundary links. Zbl 0766.57014
Farber, Michael
3
1992
The classification of simple knots. Zbl 0546.57006
Farber, M. Sh.
3
1983
Duality in an infinite cyclic covering and even-dimensional knots. Zbl 0394.57011
Farber, M. S.
3
1977
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2
2019
Closed 1-forms in topology and geometric group theory. Zbl 1245.57005
Farber, M.; Geoghegan, R.; Schütz, D.
2
2010
Homological category weights and estimates for \(\mathrm{cat}^1(X,\xi)\). Zbl 1142.55003
Farber, M.; Schütz, D.
2
2008
Cohomological estimates for cat\((X,\xi )\). Zbl 1153.55004
Farber, Michael; Schütz, Dirk
2
2007
Topology and robotics. Results of the workshop, FIM, ETH Zurich, Switzerland, July 10–14, 2006. Zbl 1120.55002
Farber, M. (ed.); Ghrist, R. (ed.); Burger, M. (ed.); Koditschek, D. (ed.)
2
2007
Closed 1-forms with at most one zero. Zbl 1094.58005
Farber, M.; Schütz, D.
2
2006
Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007
Farber, M.; Kappeler, T.
2
2004
Morse-Novikov critical point theory, Cohn localization and Dirichlet units. Zbl 0964.57030
Farber, M.
2
1999
Equivariant Novikov inequalities. Zbl 0889.57040
Braverman, Maxim; Farber, Michael
2
1997
Combinatorial invariants computing the Ray-Singer analytic torsion. Zbl 0864.57023
Farber, Michael S.
2
1996
The Novikov-Bott inequalities. Zbl 0846.58016
Braverman, Maxim; Farber, Michael
2
1995
Minimal Seifert manifolds and the knot finiteness theorem. Zbl 0692.57011
Farber, M.
2
1989
Mappings into a circle with minimal number of critical points, and multidimensional knots. Zbl 0592.57014
Farber, M. Sh.
2
1984
On the topological complexity of aspherical spaces. Zbl 1455.55003
Farber, Michael; Mescher, Stephan
1
2020
Generating functions and topological complexity. Zbl 1440.55001
Farber, Michael; Kishimoto, Daisuke; Stanley, Donald
1
2020
Directed topological complexity. Zbl 07177612
Goubault, Eric; Farber, Michael; Sagnier, Aurélien
1
2020
Homology of planar telescopic linkages. Zbl 1193.55007
Farber, Michael; Fromm, Viktor
1
2010
Novikov-Betti numbers and the fundamental group. Zbl 1173.57302
Farber, M.; Schütz, D.
1
2006
Lyapunov 1-forms for flows. Zbl 1087.37012
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
1
2004
Smooth Lyapunov 1-forms. Zbl 1084.37014
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
1
2004
Novikov-Shubin signatures. I. Zbl 0978.18007
Farber, Michael
1
2000
Von Neumann Betti numbers and Novikov type inequalities. Zbl 0952.58017
Farber, Michael
1
2000
Lusternik-Schnirelman theory for closed 1-forms. Zbl 0956.58006
Farber, Michael
1
2000
Unités de Dirichlet et points critiques de 1-formes fermées. Zbl 0942.58021
Farber, Michael
1
1999
Tel Aviv topology conference: Rothenberg Festschrift. Proceedings of the international conference on topology, Tel Aviv, Israel, June 1–5, 1998 dedicated to Mel Rothenberg on the occasion of his 65th birthday. Zbl 0913.00045
Farber, Michael (ed.); Lück, Wolfgang (ed.); Weinberger, Shmuel (ed.)
1
1999
Abelian categories, Novikov-Shubin invariants and Morse inequalities. Zbl 0845.18007
Farber, Michael
1
1995
A topological interpretation of the Atiyah-Patodi-Singer invariant. Zbl 0812.58081
Farber, M.; Levine, J.
1
1994
An algebraic classification of some even-dimensional spherical knots. II. Zbl 0536.57010
Farber, M. Š.
1
1984
Classification of stable fibered knots. Zbl 0494.57010
Farber, M. Sh.
1
1982
Stable classification of knots. Zbl 0513.57008
Farber, M. Sh.
1
1981
On the topological complexity of aspherical spaces. Zbl 1455.55003
Farber, Michael; Mescher, Stephan
1
2020
Generating functions and topological complexity. Zbl 1440.55001
Farber, Michael; Kishimoto, Daisuke; Stanley, Donald
1
2020
Directed topological complexity. Zbl 07177612
Goubault, Eric; Farber, Michael; Sagnier, Aurélien
1
2020
Higher topological complexity of aspherical spaces. Zbl 1412.55003
Farber, Michael; Oprea, John
4
2019
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
4
2019
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2
2019
Configuration spaces and robot motion planning algorithms. Zbl 1402.55002
Farber, Michael
8
2018
Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011
Costa, A.; Farber, M.
5
2017
Large random simplicial complexes. II: The fundamental group. Zbl 1378.55011
Costa, A.; Farber, M.
4
2017
Random simplicial complexes. Zbl 1398.55011
Costa, Armindo; Farber, Michael
7
2016
Large random simplicial complexes. I. Zbl 1339.05440
Costa, A.; Farber, M.
7
2016
Geometry and topology of random 2-complexes. Zbl 1330.55016
Costa, A. E.; Farber, M.
5
2015
Fundamental groups of clique complexes of random graphs. Zbl 1309.05159
Costa, Armindo; Farber, Michael; Horak, Danijela
4
2015
The asphericity of random 2-dimensional complexes. Zbl 1372.57009
Costa, A. E.; Farber, M.
3
2015
The topology of spaces of polygons. Zbl 1300.55022
Farber, Michael; Fromm, Viktor
4
2013
Topology of random 2-complexes. Zbl 1237.55009
Cohen, D.; Costa, A.; Farber, M.; Kappeler, T.
22
2012
Random groups arising as graph products. Zbl 1280.20046
Charney, Ruth; Farber, Michael
13
2012
Topics of stochastic algebraic topology. Zbl 1347.05225
Costa, A. E.; Farber, M.; Kappeler, T.
6
2012
Topology of random right angled Artin groups. Zbl 1218.57001
Costa, Armindo; Farber, Michael
8
2011
Topological complexity of collision-free motion planning on surfaces. Zbl 1218.55004
Cohen, Daniel C.; Farber, Michael
5
2011
The Walker conjecture for chains in \(\mathbb R^{d}\). Zbl 1257.55011
Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk
4
2011
Motion planning in spaces with small fundamental groups. Zbl 1215.55001
Costa, Armindo; Farber, Michael
12
2010
Topology of configuration space of two particles on a graph. II. Zbl 1215.55006
Farber, Michael; Hanbury, Elizabeth
4
2010
Closed 1-forms in topology and geometric group theory. Zbl 1245.57005
Farber, M.; Geoghegan, R.; Schütz, D.
2
2010
Homology of planar telescopic linkages. Zbl 1193.55007
Farber, Michael; Fromm, Viktor
1
2010
On the conjecture of Kevin Walker. Zbl 1177.55008
Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk
13
2009
Topology of configuration space of two particles on a graph. I. Zbl 1171.55007
Barnett, Kathryn; Farber, Michael
11
2009
Topological complexity of configuration spaces. Zbl 1172.55006
Farber, Michael; Grant, Mark
10
2009
Invitation to topological robotics. Zbl 1148.55011
Farber, Michael
79
2008
Robot motion planning, weights of cohomology classes, and cohomology operations. Zbl 1151.55004
Farber, Michael; Grant, Mark
17
2008
Topology of random linkages. Zbl 1135.55009
Farber, Michael
10
2008
Betti numbers of random manifolds. Zbl 1136.55014
Farber, Michael; Kappeler, Thomas
8
2008
Homological category weights and estimates for \(\mathrm{cat}^1(X,\xi)\). Zbl 1142.55003
Farber, M.; Schütz, D.
2
2008
Homology of planar polygon spaces. Zbl 1132.52024
Farber, M.; Schütz, D.
21
2007
Symmetric motion planning. Zbl 1143.70013
Farber, Michael; Grant, Mark
12
2007
Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles. Zbl 1143.55300
Farber, Michael; Grant, Mark; Yuzvinsky, Sergey
6
2007
Moving homology classes to infinity. Zbl 1158.55005
Farber, Michael; Schütz, Dirk
3
2007
Cohomological estimates for cat\((X,\xi )\). Zbl 1153.55004
Farber, Michael; Schütz, Dirk
2
2007
Topology and robotics. Results of the workshop, FIM, ETH Zurich, Switzerland, July 10–14, 2006. Zbl 1120.55002
Farber, M. (ed.); Ghrist, R. (ed.); Burger, M. (ed.); Koditschek, D. (ed.)
2
2007
Topology of robot motion planning. Zbl 1089.68131
Farber, Michael
25
2006
Closed 1-forms with at most one zero. Zbl 1094.58005
Farber, M.; Schütz, D.
2
2006
Novikov-Betti numbers and the fundamental group. Zbl 1173.57302
Farber, M.; Schütz, D.
1
2006
\(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015
Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese
6
2005
Instabilities of robot motion. Zbl 1106.68107
Farber, Michael
43
2004
Topology of closed one-forms. Zbl 1052.58016
Farber, Michael
36
2004
Topological robotics: subspace arrangements and collision free motion planning. Zbl 1088.68171
Farber, Michael; Yuzvinsky, Sergey
14
2004
Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007
Farber, M.; Kappeler, T.
2
2004
Lyapunov 1-forms for flows. Zbl 1087.37012
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
1
2004
Smooth Lyapunov 1-forms. Zbl 1084.37014
Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E.
1
2004
Topological complexity of motion planning. Zbl 1038.68130
Farber, Michael
117
2003
Topological robotics: Motion planning in projective spaces. Zbl 1030.68089
Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey
39
2003
Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038
Farber, Michael; Tabachnikov, Serge
15
2002
Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory. Zbl 1098.57020
Farber, Michael
8
2002
Topology of billiard problems. II. Zbl 1013.37034
Farber, Michael
6
2002
Topology of billiard problems. I. Zbl 1013.37033
Farber, Michael
5
2002
Lusternik-Schnirelman theory and dynamics. Zbl 1029.58006
Farber, Michael
3
2002
Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052
Farber, Michael; Tabachnikov, Serge
3
2002
On the zero-in-the-spectrum conjecture. Zbl 0992.58012
Farber, Michael; Weinberger, Shmuel
5
2001
Topology of closed 1-forms and their critical points. Zbl 0977.58011
Farber, Michael
4
2001
Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020
Farber, Michael; Turaev, Vladimir
21
2000
Absolute torsion and eta-invariant. Zbl 0955.57022
Farber, M.
6
2000
Witten deformation and polynomial differential forms. Zbl 0988.58009
Farber, Michael; Shustin, Eugenii
5
2000
Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023
Carey, A.; Farber, M.; Mathai, V.
3
2000
Novikov-Shubin signatures. I. Zbl 0978.18007
Farber, Michael
1
2000
Von Neumann Betti numbers and Novikov type inequalities. Zbl 0952.58017
Farber, Michael
1
2000
Lusternik-Schnirelman theory for closed 1-forms. Zbl 0956.58006
Farber, Michael
1
2000
Absolute torsion. Zbl 0934.57030
Farber, Michael; Turaev, Vladimir
7
1999
The Morse-Novikov theory of circle-valued functions and noncommutative localization. Zbl 0983.58007
Farber, M.; Ranicki, A.
5
1999
Morse-Novikov critical point theory, Cohn localization and Dirichlet units. Zbl 0964.57030
Farber, M.
2
1999
Unités de Dirichlet et points critiques de 1-formes fermées. Zbl 0942.58021
Farber, Michael
1
1999
Tel Aviv topology conference: Rothenberg Festschrift. Proceedings of the international conference on topology, Tel Aviv, Israel, June 1–5, 1998 dedicated to Mel Rothenberg on the occasion of his 65th birthday. Zbl 0913.00045
Farber, Michael (ed.); Lück, Wolfgang (ed.); Weinberger, Shmuel (ed.)
1
1999
Geometry of growth: approximation theorems for \(L^2\) invariants. Zbl 0911.53026
Farber, Michael
21
1998
Von Neumann categories and extended \(L^2\)-cohomology. Zbl 0916.18007
Farber, Michael
8
1998
Morse theory of harmonic forms. Zbl 0911.58001
Farber, Michael; Katz, Gabriel; Levine, Jerome
8
1998
Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031
Carey, A.; Farber, M.; Mathai, V.
8
1997
Novikov type inequalities for differential forms with non-isolated zeros. Zbl 0894.58012
Braverman, Maxim; Farber, Michael
7
1997
Equivariant Novikov inequalities. Zbl 0889.57040
Braverman, Maxim; Farber, Michael
2
1997
Homological algebra of Novikov-Shubin invariants and Morse inequalities. Zbl 0866.57026
Farber, M. S.
12
1996
Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants). Zbl 0867.57027
Farber, Michael S.; Levine, Jerome P.
6
1996
Novikov inequalities with symmetry. Zbl 0863.57028
Braverman, Maxim; Farber, Michael
3
1996
Combinatorial invariants computing the Ray-Singer analytic torsion. Zbl 0864.57023
Farber, Michael S.
2
1996
Singularities of the analytic torsion. Zbl 0838.58038
Farber, Michael S.
4
1995
The Novikov-Bott inequalities. Zbl 0846.58016
Braverman, Maxim; Farber, Michael
2
1995
Abelian categories, Novikov-Shubin invariants and Morse inequalities. Zbl 0845.18007
Farber, Michael
1
1995
A topological interpretation of the Atiyah-Patodi-Singer invariant. Zbl 0812.58081
Farber, M.; Levine, J.
1
1994
The Cohn localization of the free group ring. Zbl 0767.16006
Farber, M.; Vogel, P.
11
1992
Noncommutative rational functions and boundary links. Zbl 0734.57005
Farber, Michael
7
1992
Stable-homotopy and homology invariants of boundary links. Zbl 0766.57014
Farber, Michael
3
1992
Hermitian forms on link modules. Zbl 0733.57013
Farber, M.
9
1991
Minimal Seifert manifolds and the knot finiteness theorem. Zbl 0692.57011
Farber, M.
2
1989
Exactness of the Novikov inequalities. Zbl 0603.58030
Farber, M. Sh.
12
1985
An algebraic classification of some even-dimensional spherical knots. I. Zbl 0536.57009
Farber, M. Š.
6
1984
Mappings into a circle with minimal number of critical points, and multidimensional knots. Zbl 0592.57014
Farber, M. Sh.
2
1984
An algebraic classification of some even-dimensional spherical knots. II. Zbl 0536.57010
Farber, M. Š.
1
1984
The classification of simple knots. Zbl 0546.57006
Farber, M. Sh.
3
1983
Classification of stable fibered knots. Zbl 0494.57010
Farber, M. Sh.
1
1982
Stable classification of knots. Zbl 0513.57008
Farber, M. Sh.
1
1981
A stable classification of spherical knots. Zbl 0487.57003
Farber, M. Sh.
1
1981
Classification of stable fibred knots. Zbl 0483.57013
Farber, M. Sh.
1
1981
Isotopy types of knots of codimension two. Zbl 0513.57007
Farber, M. Sh.
8
1980
...and 5 more Documents
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Cited by 444 Authors

43 Farber, Michael S.
16 Grant, Mark
13 Gonzalez, Jesus
12 Davis, Donald M.
12 Schütz, Dirk
11 Costa, Armindo
11 Panina, Gaiane Yu.
10 Braverman, Maxim
9 Dranishnikov, Alexander Nikolaevich
9 Gelbukh, Irina
9 Vandembroucq, Lucile
8 Cohen, Daniel C.
7 Kappeler, Thomas
6 Huang, Rung-Tzung
6 Kamiyama, Yasuhiko
6 Lupton, Gregory M.
6 Mathai, Varghese
6 Oprea, John F.
6 Su, Guangxiang
6 Tabachnikov, Serge L.
5 García-Calcines, Jose Manuel
5 Macias-Virgós, Enrique
5 Siersma, Dirk
4 Blanc, David Abraham
4 Karasev, Roman N.
4 Khimshiashvili, Giorgi
4 Lee, Yoonweon
4 Levine, Jerome P.
4 Mescher, Stephan
4 Pazhitnov, Andrei Vladimirovich
4 Ramos, Eric
4 Sabalka, Lucas
4 Sauer, Roman
4 Shvalb, Nir
4 Ipanaque Zapata, Cesar A.
3 Ara, Pere
3 Aronshtam, Lior
3 Burghelea, Dan
3 Carrasquel-Vera, José Gabriel
3 Colman, Hellen
3 Färber, Michael
3 Fernández-Ternero, Desamparados
3 Fromm, Viktor
3 Garoufalidis, Stavros
3 Ghrist, Robert W.
3 Guido, Daniele
3 Hillman, Jonathan Arthur
3 Huang, Jingyin
3 Hurtubise, David E.
3 Isola, Tommaso
3 Iwase, Norio
3 Kahle, Matthew
3 Kawauchi, Akio
3 Kirk, Paul A.
3 Kishimoto, Daisuke
3 Klein, John Robert
3 Kyed, David
3 Linial, Nathan
3 Pavešić, Petar
3 Raussen, Martin
3 Recio-Mitter, David
3 Rudyak, Yuli B.
3 Suciu, Alexander I.
3 Tanaka, Kohei
3 Vertman, Boris
3 Vilches, Jose Antonio
3 Yogeshwaran, Dhandapani
2 Adler, Robert Joseph
2 Alekseev, Vadim
2 Ángel, Andrés
2 Băbălîc, Elena-Mirela
2 Banyaga, Augustin
2 Bialy, Misha
2 Blagojević, Pavle V. M.
2 Błaszczyk, Zbigniew
2 Borat, Ayşe
2 Bytsenko, Andrei A.
2 Cadavid-Aguilar, Natalia
2 Carrasquel, José
2 Cheng, Wei
2 Davis, Michael W.
2 Derfoufi, Younes
2 Doeraene, Jean-Paul
2 Farley, Daniel Scott
2 Fernández-Suárez, Lucía
2 Franc, Aleksandra
2 Friedl, Stefan
2 Frosini, Patrizio
2 Gundert, Anna
2 Gutiérrez, Bárbara
2 Haller, Stefan
2 Hausmann, Jean-Claude
2 Holt, Derek F.
2 İs, Melih
2 Kahl, Thomas
2 Karaca, Ismet
2 Kearton, Cherry
2 Klassen, Eric Paul
2 Ko, Ki Hyoung
2 Kricker, Andrew
...and 344 more Authors
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Cited in 138 Serials

43 Topology and its Applications
32 Algebraic & Geometric Topology
26 Proceedings of the American Mathematical Society
17 Transactions of the American Mathematical Society
13 Geometry & Topology
12 Mathematische Annalen
11 Israel Journal of Mathematics
11 Mathematische Zeitschrift
11 Journal of Topology and Analysis
10 Discrete & Computational Geometry
9 Journal of Functional Analysis
9 Journal of Knot Theory and its Ramifications
8 Journal of Pure and Applied Algebra
7 Journal of Applied and Computational Topology
6 Annales de l’Institut Fourier
6 Forum Mathematicum
6 Geometric and Functional Analysis. GAFA
5 Journal of Geometry and Physics
5 Geometriae Dedicata
5 Communications in Contemporary Mathematics
5 Journal of Homotopy and Related Structures
4 Bulletin of the Australian Mathematical Society
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Advances in Mathematics
4 Duke Mathematical Journal
4 International Journal of Mathematics
4 Random Structures & Algorithms
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Proceedings of the Steklov Institute of Mathematics
3 Compositio Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Inventiones Mathematicae
3 Journal of Differential Equations
3 Manuscripta Mathematica
3 Differential Geometry and its Applications
3 Journal of Mathematical Sciences (New York)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Groups, Geometry, and Dynamics
3 Arnold Mathematical Journal
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Czechoslovak Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Algebra
2 Annals of Global Analysis and Geometry
2 Journal of Symbolic Computation
2 International Journal of Algebra and Computation
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Topological Methods in Nonlinear Analysis
2 Topology Proceedings
2 St. Petersburg Mathematical Journal
2 Turkish Journal of Mathematics
2 The New York Journal of Mathematics
2 Chaos
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Dynamical and Control Systems
2 Journal of High Energy Physics
2 Central European Journal of Mathematics
2 Journal of Topology
2 Chinese Journal of Mathematics
2 Bulletin of Computational Applied Mathematics
2 European Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica Vietnamica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
1 Journal of Geometry
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Systems & Control Letters
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 \(K\)-Theory
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Annals of Applied Probability
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Applicable Algebra in Engineering, Communication and Computing
1 The Australasian Journal of Combinatorics
1 Experimental Mathematics
...and 38 more Serials
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Cited in 47 Fields

216 Algebraic topology (55-XX)
170 Manifolds and cell complexes (57-XX)
111 Global analysis, analysis on manifolds (58-XX)
56 Combinatorics (05-XX)
54 Group theory and generalizations (20-XX)
47 Computer science (68-XX)
37 Dynamical systems and ergodic theory (37-XX)
37 Differential geometry (53-XX)
24 Mechanics of particles and systems (70-XX)
22 Probability theory and stochastic processes (60-XX)
20 Convex and discrete geometry (52-XX)
17 Algebraic geometry (14-XX)
16 Functional analysis (46-XX)
13 Number theory (11-XX)
13 Associative rings and algebras (16-XX)
12 \(K\)-theory (19-XX)
11 Topological groups, Lie groups (22-XX)
9 Category theory; homological algebra (18-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Systems theory; control (93-XX)
7 Ordinary differential equations (34-XX)
7 Geometry (51-XX)
6 Partial differential equations (35-XX)
6 Quantum theory (81-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Commutative algebra (13-XX)
4 Abstract harmonic analysis (43-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Relativity and gravitational theory (83-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Numerical analysis (65-XX)
2 Operations research, mathematical programming (90-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Difference and functional equations (39-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

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