Edit Profile Farber, Michael S. Compute Distance To: Compute Author ID: 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 Co-Authors 58 single-authored 12 Costa, Armindo 11 Schütz, Dirk 7 Kappeler, Thomas 6 Grant, Mark 5 Braverman, Maxim 4 Yuzvinsky, Sergey 3 Carey, Alan L. 3 Cohen, Daniel C. 3 Fromm, Viktor 3 Levine, Jerome P. 3 Mathai, Varghese 3 Oprea, John F. 3 Tabachnikov, Serge L. 2 Hausmann, Jean-Claude 2 Latschev, Janko 2 Lupton, Gregory M. 2 Turaev, Vladimir G. 2 Weinberger, Shmuel 2 Zehnder, Eduard J. 1 Allakhverdiev, Jalal Eyvaz 1 Barnett, Kathryn 1 Burger, Martin 1 Charney, Ruth M. 1 Gamidov, R. G. 1 Garmash, I. I. 1 Geoghegan, Ross 1 Ghrist, Robert W. 1 González Espino-Barros, Jesús 1 Hanbury, Elizabeth 1 Hillman, Jonathan Arthur 1 Horak, Danijela 1 Katz, Gabriel 1 Kazakov, B. S. 1 Koditschek, Daniel E. 1 Levitan, V. D. 1 Lück, Wolfgang 1 Ranicki, Andrew A. 1 Shustin, Eugenii Isaakovich 1 Suciu, Alexander I. 1 Vogel, Pierre 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 all top 5 Fields 64 Algebraic topology (55-XX) 60 Manifolds and cell complexes (57-XX) 40 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-XX) 13 Number theory (11-XX) 12 Combinatorics (05-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 7 Group theory and generalizations (20-XX) 7 Probability theory and stochastic processes (60-XX) 6 Category theory; homological algebra (18-XX) 6 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 4 Differential geometry (53-XX) 3 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 105 Publications have been cited 888 times in 459 Documents Cited by ▼ Year ▼ Topological complexity of motion planning. Zbl 1038.68130Farber, Michael 117 2003 Invitation to topological robotics. Zbl 1148.55011Farber, Michael 79 2008 Instabilities of robot motion. Zbl 1106.68107Farber, Michael 43 2004 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 39 2003 Topology of closed one-forms. Zbl 1052.58016Farber, Michael 36 2004 Topology of robot motion planning. Zbl 1089.68131Farber, Michael 25 2006 Topology of random 2-complexes. Zbl 1237.55009Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 22 2012 Homology of planar polygon spaces. Zbl 1132.52024Farber, M.; Schütz, D. 21 2007 Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020Farber, Michael; Turaev, Vladimir 21 2000 Geometry of growth: approximation theorems for \(L^2\) invariants. Zbl 0911.53026Farber, Michael 21 1998 Robot motion planning, weights of cohomology classes, and cohomology operations. Zbl 1151.55004Farber, Michael; Grant, Mark 17 2008 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038Farber, Michael; Tabachnikov, Serge 15 2002 Topological robotics: subspace arrangements and collision free motion planning. Zbl 1088.68171Farber, Michael; Yuzvinsky, Sergey 14 2004 Random groups arising as graph products. Zbl 1280.20046Charney, Ruth; Farber, Michael 13 2012 On the conjecture of Kevin Walker. Zbl 1177.55008Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 13 2009 Motion planning in spaces with small fundamental groups. Zbl 1215.55001Costa, Armindo; Farber, Michael 12 2010 Symmetric motion planning. Zbl 1143.70013Farber, Michael; Grant, Mark 12 2007 Homological algebra of Novikov-Shubin invariants and Morse inequalities. Zbl 0866.57026Farber, M. S. 12 1996 Exactness of the Novikov inequalities. Zbl 0603.58030Farber, M. Sh. 12 1985 Topology of configuration space of two particles on a graph. I. Zbl 1171.55007Barnett, Kathryn; Farber, Michael 11 2009 The Cohn localization of the free group ring. Zbl 0767.16006Farber, M.; Vogel, P. 11 1992 Topological complexity of configuration spaces. Zbl 1172.55006Farber, Michael; Grant, Mark 10 2009 Topology of random linkages. Zbl 1135.55009Farber, Michael 10 2008 Hermitian forms on link modules. Zbl 0733.57013Farber, M. 9 1991 Configuration spaces and robot motion planning algorithms. Zbl 1402.55002Farber, Michael 8 2018 Topology of random right angled Artin groups. Zbl 1218.57001Costa, Armindo; Farber, Michael 8 2011 Betti numbers of random manifolds. Zbl 1136.55014Farber, Michael; Kappeler, Thomas 8 2008 Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory. Zbl 1098.57020Farber, Michael 8 2002 Von Neumann categories and extended \(L^2\)-cohomology. Zbl 0916.18007Farber, Michael 8 1998 Morse theory of harmonic forms. Zbl 0911.58001Farber, Michael; Katz, Gabriel; Levine, Jerome 8 1998 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031Carey, A.; Farber, M.; Mathai, V. 8 1997 Isotopy types of knots of codimension two. Zbl 0513.57007Farber, M. Sh. 8 1980 Random simplicial complexes. Zbl 1398.55011Costa, Armindo; Farber, Michael 7 2016 Large random simplicial complexes. I. Zbl 1339.05440Costa, A.; Farber, M. 7 2016 Absolute torsion. Zbl 0934.57030Farber, Michael; Turaev, Vladimir 7 1999 Novikov type inequalities for differential forms with non-isolated zeros. Zbl 0894.58012Braverman, Maxim; Farber, Michael 7 1997 Noncommutative rational functions and boundary links. Zbl 0734.57005Farber, Michael 7 1992 Topics of stochastic algebraic topology. Zbl 1347.05225Costa, A. E.; Farber, M.; Kappeler, T. 6 2012 Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles. Zbl 1143.55300Farber, Michael; Grant, Mark; Yuzvinsky, Sergey 6 2007 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 6 2005 Topology of billiard problems. II. Zbl 1013.37034Farber, Michael 6 2002 Absolute torsion and eta-invariant. Zbl 0955.57022Farber, M. 6 2000 Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants). Zbl 0867.57027Farber, Michael S.; Levine, Jerome P. 6 1996 An algebraic classification of some even-dimensional spherical knots. I. Zbl 0536.57009Farber, M. Š. 6 1984 Dualität in einer unendlichen zyklischen Überdeckung und geraddimensionale Knoten. Zbl 0366.55003Farber, M. S. 6 1977 Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011Costa, A.; Farber, M. 5 2017 Geometry and topology of random 2-complexes. Zbl 1330.55016Costa, A. E.; Farber, M. 5 2015 Topological complexity of collision-free motion planning on surfaces. Zbl 1218.55004Cohen, Daniel C.; Farber, Michael 5 2011 Topology of billiard problems. I. Zbl 1013.37033Farber, Michael 5 2002 On the zero-in-the-spectrum conjecture. Zbl 0992.58012Farber, Michael; Weinberger, Shmuel 5 2001 Witten deformation and polynomial differential forms. Zbl 0988.58009Farber, Michael; Shustin, Eugenii 5 2000 The Morse-Novikov theory of circle-valued functions and noncommutative localization. Zbl 0983.58007Farber, M.; Ranicki, A. 5 1999 Higher topological complexity of aspherical spaces. Zbl 1412.55003Farber, Michael; Oprea, John 4 2019 An upper bound for topological complexity. Zbl 1410.55002Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 4 2019 Large random simplicial complexes. II: The fundamental group. Zbl 1378.55011Costa, A.; Farber, M. 4 2017 Fundamental groups of clique complexes of random graphs. Zbl 1309.05159Costa, Armindo; Farber, Michael; Horak, Danijela 4 2015 The topology of spaces of polygons. Zbl 1300.55022Farber, Michael; Fromm, Viktor 4 2013 The Walker conjecture for chains in \(\mathbb R^{d}\). Zbl 1257.55011Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 4 2011 Topology of configuration space of two particles on a graph. II. Zbl 1215.55006Farber, Michael; Hanbury, Elizabeth 4 2010 Topology of closed 1-forms and their critical points. Zbl 0977.58011Farber, Michael 4 2001 Singularities of the analytic torsion. Zbl 0838.58038Farber, Michael S. 4 1995 The asphericity of random 2-dimensional complexes. Zbl 1372.57009Costa, A. E.; Farber, M. 3 2015 Moving homology classes to infinity. Zbl 1158.55005Farber, Michael; Schütz, Dirk 3 2007 Lusternik-Schnirelman theory and dynamics. Zbl 1029.58006Farber, Michael 3 2002 Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052Farber, Michael; Tabachnikov, Serge 3 2002 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023Carey, A.; Farber, M.; Mathai, V. 3 2000 Novikov inequalities with symmetry. Zbl 0863.57028Braverman, Maxim; Farber, Michael 3 1996 Stable-homotopy and homology invariants of boundary links. Zbl 0766.57014Farber, Michael 3 1992 The classification of simple knots. Zbl 0546.57006Farber, M. Sh. 3 1983 Duality in an infinite cyclic covering and even-dimensional knots. Zbl 0394.57011Farber, M. S. 3 1977 Bredon cohomology and robot motion planning. Zbl 07121519Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 2 2019 Closed 1-forms in topology and geometric group theory. Zbl 1245.57005Farber, M.; Geoghegan, R.; Schütz, D. 2 2010 Homological category weights and estimates for \(\mathrm{cat}^1(X,\xi)\). Zbl 1142.55003Farber, M.; Schütz, D. 2 2008 Cohomological estimates for cat\((X,\xi )\). Zbl 1153.55004Farber, Michael; Schütz, Dirk 2 2007 Topology and robotics. Results of the workshop, FIM, ETH Zurich, Switzerland, July 10–14, 2006. Zbl 1120.55002Farber, M. (ed.); Ghrist, R. (ed.); Burger, M. (ed.); Koditschek, D. (ed.) 2 2007 Closed 1-forms with at most one zero. Zbl 1094.58005Farber, M.; Schütz, D. 2 2006 Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007Farber, M.; Kappeler, T. 2 2004 Morse-Novikov critical point theory, Cohn localization and Dirichlet units. Zbl 0964.57030Farber, M. 2 1999 Equivariant Novikov inequalities. Zbl 0889.57040Braverman, Maxim; Farber, Michael 2 1997 Combinatorial invariants computing the Ray-Singer analytic torsion. Zbl 0864.57023Farber, Michael S. 2 1996 The Novikov-Bott inequalities. Zbl 0846.58016Braverman, Maxim; Farber, Michael 2 1995 Minimal Seifert manifolds and the knot finiteness theorem. Zbl 0692.57011Farber, M. 2 1989 Mappings into a circle with minimal number of critical points, and multidimensional knots. Zbl 0592.57014Farber, M. Sh. 2 1984 On the topological complexity of aspherical spaces. Zbl 1455.55003Farber, Michael; Mescher, Stephan 1 2020 Generating functions and topological complexity. Zbl 1440.55001Farber, Michael; Kishimoto, Daisuke; Stanley, Donald 1 2020 Directed topological complexity. Zbl 07177612Goubault, Eric; Farber, Michael; Sagnier, Aurélien 1 2020 Homology of planar telescopic linkages. Zbl 1193.55007Farber, Michael; Fromm, Viktor 1 2010 Novikov-Betti numbers and the fundamental group. Zbl 1173.57302Farber, M.; Schütz, D. 1 2006 Lyapunov 1-forms for flows. Zbl 1087.37012Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 1 2004 Smooth Lyapunov 1-forms. Zbl 1084.37014Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 1 2004 Novikov-Shubin signatures. I. Zbl 0978.18007Farber, Michael 1 2000 Von Neumann Betti numbers and Novikov type inequalities. Zbl 0952.58017Farber, Michael 1 2000 Lusternik-Schnirelman theory for closed 1-forms. Zbl 0956.58006Farber, Michael 1 2000 Unités de Dirichlet et points critiques de 1-formes fermées. Zbl 0942.58021Farber, 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 0913.00045Farber, Michael (ed.); Lück, Wolfgang (ed.); Weinberger, Shmuel (ed.) 1 1999 Abelian categories, Novikov-Shubin invariants and Morse inequalities. Zbl 0845.18007Farber, Michael 1 1995 A topological interpretation of the Atiyah-Patodi-Singer invariant. Zbl 0812.58081Farber, M.; Levine, J. 1 1994 An algebraic classification of some even-dimensional spherical knots. II. Zbl 0536.57010Farber, M. Š. 1 1984 Classification of stable fibered knots. Zbl 0494.57010Farber, M. Sh. 1 1982 Stable classification of knots. Zbl 0513.57008Farber, M. Sh. 1 1981 On the topological complexity of aspherical spaces. Zbl 1455.55003Farber, Michael; Mescher, Stephan 1 2020 Generating functions and topological complexity. Zbl 1440.55001Farber, Michael; Kishimoto, Daisuke; Stanley, Donald 1 2020 Directed topological complexity. Zbl 07177612Goubault, Eric; Farber, Michael; Sagnier, Aurélien 1 2020 Higher topological complexity of aspherical spaces. Zbl 1412.55003Farber, Michael; Oprea, John 4 2019 An upper bound for topological complexity. Zbl 1410.55002Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 4 2019 Bredon cohomology and robot motion planning. Zbl 07121519Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 2 2019 Configuration spaces and robot motion planning algorithms. Zbl 1402.55002Farber, Michael 8 2018 Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011Costa, A.; Farber, M. 5 2017 Large random simplicial complexes. II: The fundamental group. Zbl 1378.55011Costa, A.; Farber, M. 4 2017 Random simplicial complexes. Zbl 1398.55011Costa, Armindo; Farber, Michael 7 2016 Large random simplicial complexes. I. Zbl 1339.05440Costa, A.; Farber, M. 7 2016 Geometry and topology of random 2-complexes. Zbl 1330.55016Costa, A. E.; Farber, M. 5 2015 Fundamental groups of clique complexes of random graphs. Zbl 1309.05159Costa, Armindo; Farber, Michael; Horak, Danijela 4 2015 The asphericity of random 2-dimensional complexes. Zbl 1372.57009Costa, A. E.; Farber, M. 3 2015 The topology of spaces of polygons. Zbl 1300.55022Farber, Michael; Fromm, Viktor 4 2013 Topology of random 2-complexes. Zbl 1237.55009Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 22 2012 Random groups arising as graph products. Zbl 1280.20046Charney, Ruth; Farber, Michael 13 2012 Topics of stochastic algebraic topology. Zbl 1347.05225Costa, A. E.; Farber, M.; Kappeler, T. 6 2012 Topology of random right angled Artin groups. Zbl 1218.57001Costa, Armindo; Farber, Michael 8 2011 Topological complexity of collision-free motion planning on surfaces. Zbl 1218.55004Cohen, Daniel C.; Farber, Michael 5 2011 The Walker conjecture for chains in \(\mathbb R^{d}\). Zbl 1257.55011Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 4 2011 Motion planning in spaces with small fundamental groups. Zbl 1215.55001Costa, Armindo; Farber, Michael 12 2010 Topology of configuration space of two particles on a graph. II. Zbl 1215.55006Farber, Michael; Hanbury, Elizabeth 4 2010 Closed 1-forms in topology and geometric group theory. Zbl 1245.57005Farber, M.; Geoghegan, R.; Schütz, D. 2 2010 Homology of planar telescopic linkages. Zbl 1193.55007Farber, Michael; Fromm, Viktor 1 2010 On the conjecture of Kevin Walker. Zbl 1177.55008Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 13 2009 Topology of configuration space of two particles on a graph. I. Zbl 1171.55007Barnett, Kathryn; Farber, Michael 11 2009 Topological complexity of configuration spaces. Zbl 1172.55006Farber, Michael; Grant, Mark 10 2009 Invitation to topological robotics. Zbl 1148.55011Farber, Michael 79 2008 Robot motion planning, weights of cohomology classes, and cohomology operations. Zbl 1151.55004Farber, Michael; Grant, Mark 17 2008 Topology of random linkages. Zbl 1135.55009Farber, Michael 10 2008 Betti numbers of random manifolds. Zbl 1136.55014Farber, Michael; Kappeler, Thomas 8 2008 Homological category weights and estimates for \(\mathrm{cat}^1(X,\xi)\). Zbl 1142.55003Farber, M.; Schütz, D. 2 2008 Homology of planar polygon spaces. Zbl 1132.52024Farber, M.; Schütz, D. 21 2007 Symmetric motion planning. Zbl 1143.70013Farber, Michael; Grant, Mark 12 2007 Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles. Zbl 1143.55300Farber, Michael; Grant, Mark; Yuzvinsky, Sergey 6 2007 Moving homology classes to infinity. Zbl 1158.55005Farber, Michael; Schütz, Dirk 3 2007 Cohomological estimates for cat\((X,\xi )\). Zbl 1153.55004Farber, Michael; Schütz, Dirk 2 2007 Topology and robotics. Results of the workshop, FIM, ETH Zurich, Switzerland, July 10–14, 2006. Zbl 1120.55002Farber, M. (ed.); Ghrist, R. (ed.); Burger, M. (ed.); Koditschek, D. (ed.) 2 2007 Topology of robot motion planning. Zbl 1089.68131Farber, Michael 25 2006 Closed 1-forms with at most one zero. Zbl 1094.58005Farber, M.; Schütz, D. 2 2006 Novikov-Betti numbers and the fundamental group. Zbl 1173.57302Farber, M.; Schütz, D. 1 2006 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 6 2005 Instabilities of robot motion. Zbl 1106.68107Farber, Michael 43 2004 Topology of closed one-forms. Zbl 1052.58016Farber, Michael 36 2004 Topological robotics: subspace arrangements and collision free motion planning. Zbl 1088.68171Farber, Michael; Yuzvinsky, Sergey 14 2004 Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007Farber, M.; Kappeler, T. 2 2004 Lyapunov 1-forms for flows. Zbl 1087.37012Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 1 2004 Smooth Lyapunov 1-forms. Zbl 1084.37014Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 1 2004 Topological complexity of motion planning. Zbl 1038.68130Farber, Michael 117 2003 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 39 2003 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038Farber, Michael; Tabachnikov, Serge 15 2002 Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory. Zbl 1098.57020Farber, Michael 8 2002 Topology of billiard problems. II. Zbl 1013.37034Farber, Michael 6 2002 Topology of billiard problems. I. Zbl 1013.37033Farber, Michael 5 2002 Lusternik-Schnirelman theory and dynamics. Zbl 1029.58006Farber, Michael 3 2002 Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052Farber, Michael; Tabachnikov, Serge 3 2002 On the zero-in-the-spectrum conjecture. Zbl 0992.58012Farber, Michael; Weinberger, Shmuel 5 2001 Topology of closed 1-forms and their critical points. Zbl 0977.58011Farber, Michael 4 2001 Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020Farber, Michael; Turaev, Vladimir 21 2000 Absolute torsion and eta-invariant. Zbl 0955.57022Farber, M. 6 2000 Witten deformation and polynomial differential forms. Zbl 0988.58009Farber, Michael; Shustin, Eugenii 5 2000 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023Carey, A.; Farber, M.; Mathai, V. 3 2000 Novikov-Shubin signatures. I. Zbl 0978.18007Farber, Michael 1 2000 Von Neumann Betti numbers and Novikov type inequalities. Zbl 0952.58017Farber, Michael 1 2000 Lusternik-Schnirelman theory for closed 1-forms. Zbl 0956.58006Farber, Michael 1 2000 Absolute torsion. Zbl 0934.57030Farber, Michael; Turaev, Vladimir 7 1999 The Morse-Novikov theory of circle-valued functions and noncommutative localization. Zbl 0983.58007Farber, M.; Ranicki, A. 5 1999 Morse-Novikov critical point theory, Cohn localization and Dirichlet units. Zbl 0964.57030Farber, M. 2 1999 Unités de Dirichlet et points critiques de 1-formes fermées. Zbl 0942.58021Farber, 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 0913.00045Farber, Michael (ed.); Lück, Wolfgang (ed.); Weinberger, Shmuel (ed.) 1 1999 Geometry of growth: approximation theorems for \(L^2\) invariants. Zbl 0911.53026Farber, Michael 21 1998 Von Neumann categories and extended \(L^2\)-cohomology. Zbl 0916.18007Farber, Michael 8 1998 Morse theory of harmonic forms. Zbl 0911.58001Farber, Michael; Katz, Gabriel; Levine, Jerome 8 1998 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031Carey, A.; Farber, M.; Mathai, V. 8 1997 Novikov type inequalities for differential forms with non-isolated zeros. Zbl 0894.58012Braverman, Maxim; Farber, Michael 7 1997 Equivariant Novikov inequalities. Zbl 0889.57040Braverman, Maxim; Farber, Michael 2 1997 Homological algebra of Novikov-Shubin invariants and Morse inequalities. Zbl 0866.57026Farber, M. S. 12 1996 Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants). Zbl 0867.57027Farber, Michael S.; Levine, Jerome P. 6 1996 Novikov inequalities with symmetry. Zbl 0863.57028Braverman, Maxim; Farber, Michael 3 1996 Combinatorial invariants computing the Ray-Singer analytic torsion. Zbl 0864.57023Farber, Michael S. 2 1996 Singularities of the analytic torsion. Zbl 0838.58038Farber, Michael S. 4 1995 The Novikov-Bott inequalities. Zbl 0846.58016Braverman, Maxim; Farber, Michael 2 1995 Abelian categories, Novikov-Shubin invariants and Morse inequalities. Zbl 0845.18007Farber, Michael 1 1995 A topological interpretation of the Atiyah-Patodi-Singer invariant. Zbl 0812.58081Farber, M.; Levine, J. 1 1994 The Cohn localization of the free group ring. Zbl 0767.16006Farber, M.; Vogel, P. 11 1992 Noncommutative rational functions and boundary links. Zbl 0734.57005Farber, Michael 7 1992 Stable-homotopy and homology invariants of boundary links. Zbl 0766.57014Farber, Michael 3 1992 Hermitian forms on link modules. Zbl 0733.57013Farber, M. 9 1991 Minimal Seifert manifolds and the knot finiteness theorem. Zbl 0692.57011Farber, M. 2 1989 Exactness of the Novikov inequalities. Zbl 0603.58030Farber, M. Sh. 12 1985 An algebraic classification of some even-dimensional spherical knots. I. Zbl 0536.57009Farber, M. Š. 6 1984 Mappings into a circle with minimal number of critical points, and multidimensional knots. Zbl 0592.57014Farber, M. Sh. 2 1984 An algebraic classification of some even-dimensional spherical knots. II. Zbl 0536.57010Farber, M. Š. 1 1984 The classification of simple knots. Zbl 0546.57006Farber, M. Sh. 3 1983 Classification of stable fibered knots. Zbl 0494.57010Farber, M. Sh. 1 1982 Stable classification of knots. Zbl 0513.57008Farber, M. Sh. 1 1981 A stable classification of spherical knots. Zbl 0487.57003Farber, M. Sh. 1 1981 Classification of stable fibred knots. Zbl 0483.57013Farber, M. Sh. 1 1981 Isotopy types of knots of codimension two. Zbl 0513.57007Farber, M. Sh. 8 1980 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year