Edit Profile (opens in new tab) Farber, Michael S. Co-Author Distance Author ID: farber.michael-s Published as: Farber, Michael; Farber, M.; Farber, M. Sh.; Farber, M. S.; Farber, Michael S.; Farber, M. Š. more...less Homepage: https://www.qmul.ac.uk/maths/profiles/farberm.html External Links: MGP · Math-Net.Ru Documents Indexed: 152 Publications since 1975, including 2 Books and 10 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 144 Reviews Co-Authors: 50 Co-Authors with 87 Joint Publications 1,355 Co-Co-Authors all top 5 Co-Authors 63 single-authored 12 Costa, Armindo 12 Schütz, Dirk 8 Kappeler, Thomas 6 Cohen, Daniel C. 6 Grant, Mark 6 Weinberger, Shmuel 5 Braverman, Maxim 5 Oprea, John F. 4 Levine, Jerome P. 4 Mead, Lewis 4 Yuzvinskiĭ, Sergeĭ Aronovich 3 Carey, Alan L. 3 Fromm, Viktor 3 Hausmann, Jean-Claude 3 Mathai, Varghese 3 Nowik, Tahl 3 Paul, Amit Kumar 3 Tabachnikov, Serge L. 2 Even-Zohar, Chaim 2 Gnedin, Alexander V. 2 Latschev, Janko 2 Lupton, Gregory M. 2 Mannan, Wajid H. 2 Mescher, Stephan 2 Strauss, Lewin 2 Turaev, Vladimir Georgievich 2 Zehnder, Eduard J. 1 Allakhverdiev, Jalal Eyvaz 1 Barnett, Kathryn 1 Burger, Martin 1 Charney, Ruth Michele 1 Espinosa Baro, Arturo 1 Gamidov, R. G. 1 Garmash, I. I. 1 Geoghegan, Ross 1 Ghrist, Robert W. 1 González Espino-Barros, Jesús 1 Goubault, Eric 1 Hanbury, Elizabeth 1 Hillman, Jonathan Arthur 1 Horak, Danijela 1 Katz, Gabriel 1 Kazakov, B. S. 1 Kishimoto, Daisuke 1 Koditschek, Daniel E. 1 Levitan, V. D. 1 Lück, Wolfgang 1 Ranicki, Andrew Alexander 1 Sagnier, Aurelien 1 Shustin, Eugenii Isaakovich 1 Stanley, Donald 1 Suciu, Alexander I. 1 Vogel, Pierre all top 5 Serials 7 Russian Mathematical Surveys 7 Topology and its Applications 7 Algebraic & Geometric Topology 6 Journal of Topology and Analysis 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 Discrete & Computational Geometry 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Proceedings of the American Mathematical Society 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Communications in Contemporary 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 Random Structures & Algorithms 2 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR 2 Journal of Knot Theory and its Ramifications 2 Topological Methods in Nonlinear Analysis 2 Oberwolfach Reports 2 Contemporary Mathematics 2 Journal of Applied and Computational Topology 1 Doklady Akademii Nauk SSSR 1 Bulletin of the London Mathematical Society 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 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 Annals of Mathematics and Artificial Intelligence 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 European Journal of Mathematics 1 SIAM Journal on Applied Algebra and Geometry 1 Zurich Lectures in Advanced Mathematics 1 London Mathematical Society. Newsletter all top 5 Fields 81 Algebraic topology (55-XX) 66 Manifolds and cell complexes (57-XX) 41 Global analysis, analysis on manifolds (58-XX) 22 Combinatorics (05-XX) 19 Computer science (68-XX) 15 Mechanics of particles and systems (70-XX) 14 Probability theory and stochastic processes (60-XX) 13 Number theory (11-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 8 Group theory and generalizations (20-XX) 7 Convex and discrete geometry (52-XX) 6 Category theory; homological algebra (18-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 3 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-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 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 1,353 times in 658 Documents Cited by ▼ Year ▼ Topological complexity of motion planning. Zbl 1038.68130 Farber, Michael 193 2003 Invitation to topological robotics. Zbl 1148.55011 Farber, Michael 126 2008 Instabilities of robot motion. Zbl 1106.68107 Farber, Michael 60 2004 Topology of closed one-forms. Zbl 1052.58016 Farber, Michael 53 2004 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089 Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 53 2003 Topology of robot motion planning. Zbl 1089.68131 Farber, Michael 42 2006 Topology of random 2-complexes. Zbl 1237.55009 Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 31 2012 Homology of planar polygon spaces. Zbl 1132.52024 Farber, M.; Schütz, D. 29 2007 Geometry of growth: approximation theorems for \(L^2\) invariants. Zbl 0911.53026 Farber, Michael 28 1998 Robot motion planning, weights of cohomology classes, and cohomology operations. Zbl 1151.55004 Farber, Michael; Grant, Mark 26 2008 Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020 Farber, Michael; Turaev, Vladimir 23 2000 Random simplicial complexes. Zbl 1398.55011 Costa, Armindo; Farber, Michael 23 2016 Large random simplicial complexes. I. Zbl 1339.05440 Costa, A.; Farber, M. 23 2016 Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011 Costa, A.; Farber, M. 21 2017 Symmetric motion planning. Zbl 1143.70013 Farber, Michael; Grant, Mark 20 2007 Random groups arising as graph products. Zbl 1280.20046 Charney, Ruth; Farber, Michael 19 2012 Motion planning in spaces with small fundamental groups. Zbl 1215.55001 Costa, Armindo; Farber, Michael 18 2010 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038 Farber, Michael; Tabachnikov, Serge 17 2002 Configuration spaces and robot motion planning algorithms. Zbl 1402.55002 Farber, Michael 17 2018 Topological robotics: subspace arrangements and collision free motion planning. Zbl 1088.68171 Farber, Michael; Yuzvinsky, Sergey 16 2004 Topological complexity of configuration spaces. Zbl 1172.55006 Farber, Michael; Grant, Mark 15 2009 Bredon cohomology and robot motion planning. Zbl 1471.55003 Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 15 2019 Exactness of the Novikov inequalities. Zbl 0603.58030 Farber, M. Sh. 14 1985 On the topological complexity of aspherical spaces. Zbl 1455.55003 Farber, Michael; Mescher, Stephan 14 2020 On the conjecture of Kevin Walker. Zbl 1177.55008 Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 14 2009 Topology of configuration space of two particles on a graph. I. Zbl 1171.55007 Barnett, Kathryn; Farber, Michael 14 2009 Large random simplicial complexes. II: The fundamental group. Zbl 1378.55011 Costa, A.; Farber, M. 14 2017 Homological algebra of Novikov-Shubin invariants and Morse inequalities. Zbl 0866.57026 Farber, M. S. 13 1996 The Cohn localization of the free group ring. Zbl 0767.16006 Farber, M.; Vogel, P. 12 1992 Fundamental groups of clique complexes of random graphs. Zbl 1309.05159 Costa, Armindo; Farber, Michael; Horak, Danijela 12 2015 Determinant lines, von Neumann algebras and \(L^ 2\) torsion. Zbl 0872.46031 Carey, A.; Farber, M.; Mathai, V. 11 1997 Topology of random linkages. Zbl 1135.55009 Farber, Michael 11 2008 Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles. Zbl 1143.55300 Farber, Michael; Grant, Mark; Yuzvinsky, Sergey 11 2007 Novikov type inequalities for differential forms with non-isolated zeros. Zbl 0894.58012 Braverman, Maxim; Farber, Michael 10 1997 Topology of parametrized motion planning algorithms. Zbl 1473.55010 Cohen, Daniel C.; Farber, Michael; Weinberger, Shmuel 10 2021 Hermitian forms on link modules. Zbl 0733.57013 Farber, M. 10 1991 Higher topological complexity of aspherical spaces. Zbl 1412.55003 Farber, Michael; Oprea, John 10 2019 The asphericity of random 2-dimensional complexes. Zbl 1372.57009 Costa, A. E.; Farber, M. 9 2015 Geometry and topology of random 2-complexes. Zbl 1330.55016 Costa, A. E.; Farber, M. 9 2015 Topological complexity of collision-free motion planning on surfaces. Zbl 1218.55004 Cohen, Daniel C.; Farber, Michael 9 2011 An upper bound for topological complexity. Zbl 1410.55002 Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 9 2019 \(L^2\)-torsion without the determinant class condition and extended \(L^2\) cohomology. Zbl 1079.55015 Braverman, Maxim; Carey, Alan; Farber, Michael; Mathai, Varghese 8 2005 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 Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants). Zbl 0867.57027 Farber, Michael S.; Levine, Jerome P. 8 1996 Absolute torsion. Zbl 0934.57030 Farber, Michael; Turaev, Vladimir 8 1999 Isotopy types of knots of codimension two. Zbl 0513.57007 Farber, M. Sh. 8 1980 Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory. Zbl 1098.57020 Farber, Michael 8 2002 Betti numbers of random manifolds. Zbl 1136.55014 Farber, Michael; Kappeler, Thomas 8 2008 Topology of billiard problems. I. Zbl 1013.37033 Farber, Michael 7 2002 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. 7 2012 An algebraic classification of some even-dimensional spherical knots. I. Zbl 0536.57009 Farber, M. Š. 7 1984 Topology of random right angled Artin groups. Zbl 1218.57001 Costa, Armindo; Farber, Michael 7 2011 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 6 2000 Topology of billiard problems. II. Zbl 1013.37034 Farber, Michael 6 2002 Random simplicial complexes, duality and the critical dimension. Zbl 1493.57020 Farber, Michael; Mead, Lewis; Nowik, Tahl 6 2022 Directed topological complexity. Zbl 1479.55008 Goubault, Eric; Farber, Michael; Sagnier, Aurélien 6 2020 The Morse-Novikov theory of circle-valued functions and noncommutative localization. Zbl 0983.58007 Farber, M.; Ranicki, A. 6 1999 Parametrized topological complexity of collision-free motion planning in the plane. Zbl 1509.55011 Cohen, Daniel C.; Farber, Michael; Weinberger, Shmuel 6 2022 The Walker conjecture for chains in \(\mathbb R^{d}\). Zbl 1257.55011 Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 5 2011 The topology of spaces of polygons. Zbl 1300.55022 Farber, Michael; Fromm, Viktor 5 2013 Random simplicial complexes in the medial regime. Zbl 1435.57022 Farber, Michael; Mead, Lewis 5 2020 Topology of closed 1-forms and their critical points. Zbl 0977.58011 Farber, Michael 5 2001 On the zero-in-the-spectrum conjecture. Zbl 0992.58012 Farber, Michael; Weinberger, Shmuel 5 2001 Dualität in einer unendlichen zyklischen Überdeckung und geraddimensionale Knoten. Zbl 0366.55003 Farber, M. S. 5 1977 The classification of simple knots. Zbl 0546.57006 Farber, M. Sh. 4 1983 Topology of configuration space of two particles on a graph. II. Zbl 1215.55006 Farber, Michael; Hanbury, Elizabeth 4 2010 Singularities of the analytic torsion. Zbl 0838.58038 Farber, Michael S. 4 1995 Duality in an infinite cyclic covering and even-dimensional knots. Zbl 0394.57011 Farber, M. S. 4 1977 Generating functions and topological complexity. Zbl 1440.55001 Farber, Michael; Kishimoto, Daisuke; Stanley, Donald 4 2020 Lusternik-Schnirelman theory and dynamics. Zbl 1029.58006 Farber, Michael 3 2002 Stable-homotopy and homology invariants of boundary links. Zbl 0766.57014 Farber, Michael 3 1992 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 Equivariant Novikov inequalities. Zbl 0889.57040 Braverman, Maxim; Farber, Michael 3 1997 Moving homology classes to infinity. Zbl 1158.55005 Farber, Michael; Schütz, Dirk 3 2007 Periodic trajectories in 3-dimensional convex billiards. Zbl 1087.37052 Farber, Michael; Tabachnikov, Serge 3 2002 Closed 1-forms in topology and geometric group theory. Zbl 1245.57005 Farber, M.; Geoghegan, R.; Schütz, D. 3 2010 Mappings into a circle with minimal number of critical points, and multidimensional knots. Zbl 0592.57014 Farber, M. Sh. 2 1984 Minimal Seifert manifolds and the knot finiteness theorem. Zbl 0692.57011 Farber, M. 2 1989 The Novikov-Bott inequalities. Zbl 0846.58016 Braverman, Maxim; Farber, Michael 2 1995 Telescopic linkages and a topological approach to phase transitions. Zbl 1226.55006 Farber, Michael; Fromm, Viktor 2 2011 Lyapunov 1-forms for flows. Zbl 1087.37012 Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 2 2004 Linking coefficients and two-dimensional knots. Zbl 0321.55004 Farber, M. S. 2 1975 Closed 1-forms with at most one zero. Zbl 1094.58005 Farber, M.; Schütz, D. 2 2006 Sequential parametrized motion planning and its complexity. Zbl 1510.55002 Farber, Michael; Paul, Amit Kumar 2 2022 Smooth Lyapunov 1-forms. Zbl 1084.37014 Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 2 2004 On smooth sections of an intersection of many-valued mappings. Zbl 0455.57019 Farber, M. Sh. 2 1979 Morse-Novikov critical point theory, Cohn localization and Dirichlet units. Zbl 0964.57030 Farber, M. 2 1999 Combinatorial invariants computing the Ray-Singer analytic torsion. Zbl 0864.57023 Farber, Michael S. 2 1996 An algebraic classification of some even-dimensional spherical knots. II. Zbl 0536.57010 Farber, M. Š. 2 1984 Cohomological estimates for cat\((X,\xi )\). Zbl 1153.55004 Farber, Michael; Schütz, Dirk 2 2007 Homological category weights and estimates for \(\mathrm{cat}^1(X,\xi)\). Zbl 1142.55003 Farber, M.; Schütz, D. 2 2008 Homology of planar telescopic linkages. Zbl 1193.55007 Farber, Michael; Fromm, Viktor 2 2010 Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007 Farber, M.; Kappeler, T. 2 2004 The Rado simplicial complex. Zbl 1473.05330 Farber, Michael; Mead, Lewis; Strauss, Lewin 2 2021 Correction to our article “Topology of random 2-complexes”. Zbl 1420.55032 Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 2 2016 A topological interpretation of the Atiyah-Patodi-Singer invariant. Zbl 0812.58081 Farber, M.; Levine, J. 1 1994 Parametrized topological complexity of sphere bundles. Zbl 1517.55001 Farber, Michael; Weinberger, Shmuel 1 2023 Random simplicial complexes, duality and the critical dimension. Zbl 1493.57020 Farber, Michael; Mead, Lewis; Nowik, Tahl 6 2022 Parametrized topological complexity of collision-free motion planning in the plane. Zbl 1509.55011 Cohen, Daniel C.; Farber, Michael; Weinberger, Shmuel 6 2022 Sequential parametrized motion planning and its complexity. Zbl 1510.55002 Farber, Michael; Paul, Amit Kumar 2 2022 Topology of parametrized motion planning algorithms. Zbl 1473.55010 Cohen, Daniel C.; Farber, Michael; Weinberger, Shmuel 10 2021 The Rado simplicial complex. Zbl 1473.05330 Farber, Michael; Mead, Lewis; Strauss, Lewin 2 2021 Random surfaces with boundary. Zbl 1482.82029 Even-Zohar, Chaim; Farber, Michael 1 2021 Topological embeddings into random 2-complexes. Zbl 1522.05504 Farber, Michael; Nowik, Tahl 1 2021 On the topological complexity of aspherical spaces. Zbl 1455.55003 Farber, Michael; Mescher, Stephan 14 2020 Directed topological complexity. Zbl 1479.55008 Goubault, Eric; Farber, Michael; Sagnier, Aurélien 6 2020 Random simplicial complexes in the medial regime. Zbl 1435.57022 Farber, Michael; Mead, Lewis 5 2020 Generating functions and topological complexity. Zbl 1440.55001 Farber, Michael; Kishimoto, Daisuke; Stanley, Donald 4 2020 Bredon cohomology and robot motion planning. Zbl 1471.55003 Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 15 2019 Higher topological complexity of aspherical spaces. Zbl 1412.55003 Farber, Michael; Oprea, John 10 2019 An upper bound for topological complexity. Zbl 1410.55002 Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John 9 2019 Configuration spaces and robot motion planning algorithms. Zbl 1402.55002 Farber, Michael 17 2018 Large random simplicial complexes. III: The critical dimension. Zbl 1367.55011 Costa, A.; Farber, M. 21 2017 Large random simplicial complexes. II: The fundamental group. Zbl 1378.55011 Costa, A.; Farber, M. 14 2017 Random simplicial complexes. Zbl 1398.55011 Costa, Armindo; Farber, Michael 23 2016 Large random simplicial complexes. I. Zbl 1339.05440 Costa, A.; Farber, M. 23 2016 Correction to our article “Topology of random 2-complexes”. Zbl 1420.55032 Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 2 2016 Fundamental groups of clique complexes of random graphs. Zbl 1309.05159 Costa, Armindo; Farber, Michael; Horak, Danijela 12 2015 The asphericity of random 2-dimensional complexes. Zbl 1372.57009 Costa, A. E.; Farber, M. 9 2015 Geometry and topology of random 2-complexes. Zbl 1330.55016 Costa, A. E.; Farber, M. 9 2015 Homological domination in large random simplicial complexes. Zbl 1498.55014 Costa, A.; Farber, M. 1 2015 The topology of spaces of polygons. Zbl 1300.55022 Farber, Michael; Fromm, Viktor 5 2013 Topology of random 2-complexes. Zbl 1237.55009 Cohen, D.; Costa, A.; Farber, M.; Kappeler, T. 31 2012 Random groups arising as graph products. Zbl 1280.20046 Charney, Ruth; Farber, Michael 19 2012 Topics of stochastic algebraic topology. Zbl 1347.05225 Costa, A. E.; Farber, M.; Kappeler, T. 7 2012 Topological complexity of collision-free motion planning on surfaces. Zbl 1218.55004 Cohen, Daniel C.; Farber, Michael 9 2011 Topology of random right angled Artin groups. Zbl 1218.57001 Costa, Armindo; Farber, Michael 7 2011 The Walker conjecture for chains in \(\mathbb R^{d}\). Zbl 1257.55011 Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 5 2011 Telescopic linkages and a topological approach to phase transitions. Zbl 1226.55006 Farber, Michael; Fromm, Viktor 2 2011 Motion planning in spaces with small fundamental groups. Zbl 1215.55001 Costa, Armindo; Farber, Michael 18 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. 3 2010 Homology of planar telescopic linkages. Zbl 1193.55007 Farber, Michael; Fromm, Viktor 2 2010 Topological complexity of configuration spaces. Zbl 1172.55006 Farber, Michael; Grant, Mark 15 2009 On the conjecture of Kevin Walker. Zbl 1177.55008 Farber, Michael; Hausmann, Jean-Claude; Schütz, Dirk 14 2009 Topology of configuration space of two particles on a graph. I. Zbl 1171.55007 Barnett, Kathryn; Farber, Michael 14 2009 Invitation to topological robotics. Zbl 1148.55011 Farber, Michael 126 2008 Robot motion planning, weights of cohomology classes, and cohomology operations. Zbl 1151.55004 Farber, Michael; Grant, Mark 26 2008 Topology of random linkages. Zbl 1135.55009 Farber, Michael 11 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. 29 2007 Symmetric motion planning. Zbl 1143.70013 Farber, Michael; Grant, Mark 20 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 11 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 1 2007 Mini-workshop: Topology of closed one-forms and cohomology jumping loci. Abstracts from the mini-workshop held August 12–18, 2007. Zbl 1177.58004 1 2007 Topology of robot motion planning. Zbl 1089.68131 Farber, Michael 42 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 8 2005 Instabilities of robot motion. Zbl 1106.68107 Farber, Michael 60 2004 Topology of closed one-forms. Zbl 1052.58016 Farber, Michael 53 2004 Topological robotics: subspace arrangements and collision free motion planning. Zbl 1088.68171 Farber, Michael; Yuzvinsky, Sergey 16 2004 Lyapunov 1-forms for flows. Zbl 1087.37012 Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 2 2004 Smooth Lyapunov 1-forms. Zbl 1084.37014 Farber, M.; Kappeler, T.; Latschev, J.; Zehnder, E. 2 2004 Lusternik-Schnirelman theory and dynamics. II. Zbl 1106.58007 Farber, M.; Kappeler, T. 2 2004 Topological complexity of motion planning. Zbl 1038.68130 Farber, Michael 193 2003 Topological robotics: Motion planning in projective spaces. Zbl 1030.68089 Farber, Michael; Tabachnikov, Serge; Yuzvinsky, Sergey 53 2003 Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards. Zbl 1006.37038 Farber, Michael; Tabachnikov, Serge 17 2002 Zeros of closed 1-forms, homoclinic orbits and Lusternik-Schnirelman theory. Zbl 1098.57020 Farber, Michael 8 2002 Topology of billiard problems. I. Zbl 1013.37033 Farber, Michael 7 2002 Topology of billiard problems. II. Zbl 1013.37034 Farber, Michael 6 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 Topology of closed 1-forms and their critical points. Zbl 0977.58011 Farber, Michael 5 2001 On the zero-in-the-spectrum conjecture. Zbl 0992.58012 Farber, Michael; Weinberger, Shmuel 5 2001 Poincaré-Reidemeister metric, Euler structures, and torsion. Zbl 0938.57020 Farber, Michael; Turaev, Vladimir 23 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 6 2000 Correspondences, von Neumann algebras and holomorphic \(L^2\) torsion. Zbl 0982.58023 Carey, A.; Farber, M.; Mathai, V. 3 2000 Lusternik-Schnirelman theory for closed 1-forms. Zbl 0956.58006 Farber, Michael 1 2000 Von Neumann Betti numbers and Novikov type inequalities. Zbl 0952.58017 Farber, Michael 1 2000 Novikov-Shubin signatures. I. Zbl 0978.18007 Farber, Michael 1 2000 Absolute torsion. Zbl 0934.57030 Farber, Michael; Turaev, Vladimir 8 1999 The Morse-Novikov theory of circle-valued functions and noncommutative localization. Zbl 0983.58007 Farber, M.; Ranicki, A. 6 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. (Dirichlet units and critical points of closed 1-forms.) Zbl 0942.58021 Farber, Michael 1 1999 Geometry of growth: approximation theorems for \(L^2\) invariants. Zbl 0911.53026 Farber, Michael 28 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. 11 1997 Novikov type inequalities for differential forms with non-isolated zeros. Zbl 0894.58012 Braverman, Maxim; Farber, Michael 10 1997 Equivariant Novikov inequalities. Zbl 0889.57040 Braverman, Maxim; Farber, Michael 3 1997 Homological algebra of Novikov-Shubin invariants and Morse inequalities. Zbl 0866.57026 Farber, M. S. 13 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. 8 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. 12 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 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 640 Authors 57 Farber, Michael S. 18 Grant, Mark 17 Davis, Donald M. 15 Gonzalez, Jesus 12 Costa, Armindo 12 Schütz, Dirk 12 Vandembroucq, Lucile 11 Braverman, Maxim 11 Cohen, Daniel C. 11 Kamiyama, Yasuhiko 10 Oprea, John F. 10 Panina, Gaiane Yu. 9 Gelbukh, Irina 8 Borat, Ayşe 7 García-Calcines, Jose Manuel 7 Kappeler, Thomas 7 Lupton, Gregory M. 7 Macias-Virgós, Enrique 7 Mescher, Stephan 7 Su, Guangxiang 7 Weinberger, Shmuel 6 Huang, Rung-Tzung 6 Karaca, Ismet 6 Mathai, Varghese 6 Pajitnov, Andrei Vladimirovich 6 Recio-Mitter, David 6 Tabachnikov, Serge L. 6 Ipanaque Zapata, Cesar Augusto 5 Blanc, David Abraham 5 Dranishnikov, Alexander Nikolaevich 5 Is, Melih Is 5 Iwase, Norio 5 Kahle, Matthew 5 Paul, Amit Kumar 5 Pavešić, Petar 5 Ramos, Eric 5 Rudyak, Yuli B. 5 Shvalb, Nir 5 Siersma, Dirk 5 Tanaka, Kohei 5 Wu, Jie 4 Bobrowski, Omer 4 Burghelea, Dan 4 Carrasquel-Vera, José Gabriel 4 Deshpande, Priyavrat 4 Friedl, Stefan 4 Karasev, Roman N. 4 Khimshiashvili, Giorgi 4 Knudsen, Ben 4 Lee, Yoonweon 4 Levine, Jerome P. 4 Mead, Lewis 4 Mosquera-Lois, David 4 Raußen, Martin 4 Sabalka, Lucas 4 Sarkar, Soumen 4 Sauer, Roman 4 Suciu, Alexander I. 4 Vergili, Tane 3 Adler, Robert Joseph 3 Aguilar-Guzmán, Jorge 3 Ara, Pere 3 Aronshtam, Lior 3 Baryshnikov, Yuliy M. 3 Błaszczyk, Zbigniew 3 Cadavid-Aguilar, Natalia 3 Colman, Hellen 3 Daundkar, Navnath 3 Even-Zohar, Chaim 3 Fromm, Viktor 3 Garoufalidis, Stavros 3 Ghrist, Robert W. 3 Guido, Daniele 3 Gutiérrez, Bárbara 3 Haller, Stefan 3 Hillman, Jonathan Arthur 3 Huang, Jingyin 3 Hurtubise, David E. 3 Isola, Tommaso 3 Kawauchi, Akio 3 Kirk, Paul A. 3 Kishimoto, Daisuke 3 Klein, John Robert 3 Kyed, David 3 Linial, Nathan 3 Löh, Clara 3 Lück, Wolfgang 3 Mamouni, My Ismail 3 Moraschini, Marco 3 Murillo-Mas, Aniceto 3 Newman, Andrew F. 3 Nowik, Tahl 3 Ranicki, Andrew Alexander 3 Scheirer, Steven 3 Torres-Giese, Enrique 3 Vertman, Boris 3 Yogeshwaran, Dhandapani 2 Abért, Miklós 2 Alekseev, Vadim 2 Alpert, Hannah ...and 540 more Authors all top 5 Cited in 190 Serials 52 Topology and its Applications 40 Algebraic & Geometric Topology 27 Proceedings of the American Mathematical Society 18 Journal of Applied and Computational Topology 17 Transactions of the American Mathematical Society 16 Discrete & Computational Geometry 16 Journal of Topology and Analysis 15 Mathematische Zeitschrift 14 Geometry & Topology 13 Israel Journal of Mathematics 13 Mathematische Annalen 12 Journal of Knot Theory and its Ramifications 11 Random Structures & Algorithms 11 Topological Methods in Nonlinear Analysis 10 Journal of Pure and Applied Algebra 9 Journal of Functional Analysis 8 Forum Mathematicum 7 Annales de l’Institut Fourier 7 Boletín de la Sociedad Matemática Mexicana. 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