Configuration space (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Configuration space (mathematics)" in English language version.

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16doi.org

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Farber, Michael; Grant, Mark (2009). "Topological complexity of configuration spaces". Proceedings of the American Mathematical Society. 137 (5): 1841–1847. arXiv:0806.4111. doi:10.1090/S0002-9939-08-09808-0. MR 2470845. S2CID 16188638.
Arnold, Vladimir (1969). "The cohomology ring of the colored braid group". Vladimir I. Arnold — Collected Works (in Russian). Vol. 5. Translated by Victor Vassiliev. pp. 227–231. doi:10.1007/978-3-642-31031-7_18. ISBN 978-3-642-31030-0. ISSN 0025-567X. MR 0242196. S2CID 122699084.
Ghrist, Robert (2001), "Configuration spaces and braid groups on graphs in robotics", Knots, braids, and mapping class groups—papers dedicated to Joan S. Birman, AMS/IP Stud. Adv. Math., vol. 24, Providence, RI: American Mathematical Society, pp. 29–40, arXiv:math/9905023, MR 1873106
Farley, Daniel; Sabalka, Lucas (2005). "Discrete Morse theory and graph braid groups". Algebraic & Geometric Topology. 5 (3): 1075–1109. arXiv:math/0410539. doi:10.2140/agt.2005.5.1075. MR 2171804. S2CID 119715655.
Świątkowski, Jacek (2001). "Estimates for homological dimension of configuration spaces of graphs". Colloquium Mathematicum (in Polish). 89 (1): 69–79. doi:10.4064/cm89-1-5. MR 1853416.

archive.org

Idrissi, Najib (2016-08-29). "The Lambrechts–Stanley Model of Configuration Spaces". Inventiones Mathematicae. 216: 1–68. arXiv:1608.08054. Bibcode:2016arXiv160808054I. doi:10.1007/s00222-018-0842-9. S2CID 102354039.

arxiv.org

Farber, Michael; Grant, Mark (2009). "Topological complexity of configuration spaces". Proceedings of the American Mathematical Society. 137 (5): 1841–1847. arXiv:0806.4111. doi:10.1090/S0002-9939-08-09808-0. MR 2470845. S2CID 16188638.
Chettih, Safia; Lütgehetmann, Daniel (2018). "The Homology of Configuration Spaces of Trees with Loops". Algebraic & Geometric Topology. 18 (4): 2443–2469. arXiv:1612.08290. doi:10.2140/agt.2018.18.2443. S2CID 119168700.
Sinha, Dev (2010-02-20). "The homology of the little disks operad". p. 2. arXiv:math/0610236.
Salvatore, Paolo; Longoni, Riccardo (2005), "Configuration spaces are not homotopy invariant", Topology, 44 (2): 375–380, arXiv:math/0401075, doi:10.1016/j.top.2004.11.002, S2CID 15874513
Campos, Ricardo; Willwacher, Thomas (2023). "A model for configuration spaces of points". Algebraic & Geometric Topology. 23 (5): 2029–2106. arXiv:1604.02043. doi:10.2140/agt.2023.23.2029.
Idrissi, Najib (2016-08-29). "The Lambrechts–Stanley Model of Configuration Spaces". Inventiones Mathematicae. 216: 1–68. arXiv:1608.08054. Bibcode:2016arXiv160808054I. doi:10.1007/s00222-018-0842-9. S2CID 102354039.
Campos, Ricardo; Idrissi, Najib; Lambrechts, Pascal; Willwacher, Thomas (2018-02-02). "Configuration Spaces of Manifolds with Boundary". arXiv:1802.00716 [math.AT].
Ghrist, Robert (2001), "Configuration spaces and braid groups on graphs in robotics", Knots, braids, and mapping class groups—papers dedicated to Joan S. Birman, AMS/IP Stud. Adv. Math., vol. 24, Providence, RI: American Mathematical Society, pp. 29–40, arXiv:math/9905023, MR 1873106
Farley, Daniel; Sabalka, Lucas (2005). "Discrete Morse theory and graph braid groups". Algebraic & Geometric Topology. 5 (3): 1075–1109. arXiv:math/0410539. doi:10.2140/agt.2005.5.1075. MR 2171804. S2CID 119715655.
Shvalb, Nir; Blanc, David (2012). "Generic singular configurations of linkages". Topology and Its Applications. 159 (3): 877–890. arXiv:1112.2334. doi:10.1016/j.topol.2011.12.003.

doi.org

Farber, Michael; Grant, Mark (2009). "Topological complexity of configuration spaces". Proceedings of the American Mathematical Society. 137 (5): 1841–1847. arXiv:0806.4111. doi:10.1090/S0002-9939-08-09808-0. MR 2470845. S2CID 16188638.
Ghrist, Robert (2009-12-01). "Configuration Spaces, Braids, and Robotics". In Berrick, A. Jon; Cohen, Frederick R.; Hanbury, Elizabeth; Wong, Yan-Loi; Wu, Jie (eds.). Braids. Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore. Vol. 19. World Scientific. pp. 263–304. doi:10.1142/9789814291415_0004. ISBN 9789814291408.
Chettih, Safia; Lütgehetmann, Daniel (2018). "The Homology of Configuration Spaces of Trees with Loops". Algebraic & Geometric Topology. 18 (4): 2443–2469. arXiv:1612.08290. doi:10.2140/agt.2018.18.2443. S2CID 119168700.
Magnus, Wilhelm (1974). "Braid groups: A survey". Proceedings of the Second International Conference on the Theory of Groups. Lecture Notes in Mathematics. Vol. 372. Springer. p. 465. doi:10.1007/BFb0065203. ISBN 978-3-540-06845-7.
Arnold, Vladimir (1969). "The cohomology ring of the colored braid group". Vladimir I. Arnold — Collected Works (in Russian). Vol. 5. Translated by Victor Vassiliev. pp. 227–231. doi:10.1007/978-3-642-31031-7_18. ISBN 978-3-642-31030-0. ISSN 0025-567X. MR 0242196. S2CID 122699084.
Salvatore, Paolo; Longoni, Riccardo (2005), "Configuration spaces are not homotopy invariant", Topology, 44 (2): 375–380, arXiv:math/0401075, doi:10.1016/j.top.2004.11.002, S2CID 15874513
Campos, Ricardo; Willwacher, Thomas (2023). "A model for configuration spaces of points". Algebraic & Geometric Topology. 23 (5): 2029–2106. arXiv:1604.02043. doi:10.2140/agt.2023.23.2029.
Idrissi, Najib (2016-08-29). "The Lambrechts–Stanley Model of Configuration Spaces". Inventiones Mathematicae. 216: 1–68. arXiv:1608.08054. Bibcode:2016arXiv160808054I. doi:10.1007/s00222-018-0842-9. S2CID 102354039.
Farley, Daniel; Sabalka, Lucas (2005). "Discrete Morse theory and graph braid groups". Algebraic & Geometric Topology. 5 (3): 1075–1109. arXiv:math/0410539. doi:10.2140/agt.2005.5.1075. MR 2171804. S2CID 119715655.
Świątkowski, Jacek (2001). "Estimates for homological dimension of configuration spaces of graphs". Colloquium Mathematicum (in Polish). 89 (1): 69–79. doi:10.4064/cm89-1-5. MR 1853416.
Shvalb, Nir; Shoham, Moshe; Blanc, David (2005). "The configuration space of arachnoid mechanisms". Forum Mathematicum. 17 (6): 1033–1042. doi:10.1515/form.2005.17.6.1033. S2CID 121995780.
Shvalb, Nir; Blanc, David (2012). "Generic singular configurations of linkages". Topology and Its Applications. 159 (3): 877–890. arXiv:1112.2334. doi:10.1016/j.topol.2011.12.003.
Bott, Raoul; Taubes, Clifford (1994-10-01). "On the self-linking of knots". Journal of Mathematical Physics. 35 (10): 5247–5287. doi:10.1063/1.530750. ISSN 0022-2488.
Fulton, William; MacPherson, Robert (January 1994). "A Compactification of Configuration Spaces". Annals of Mathematics. 139 (1): 183. doi:10.2307/2946631. ISSN 0003-486X. JSTOR 2946631.

dx.doi.org

Bott, Raoul; Taubes, Clifford (1994-10-01). "On the self-linking of knots". Journal of Mathematical Physics. 35 (10): 5247–5287. doi:10.1063/1.530750. ISSN 0022-2488.
Fulton, William; MacPherson, Robert (January 1994). "A Compactification of Configuration Spaces". Annals of Mathematics. 139 (1): 183. doi:10.2307/2946631. ISSN 0003-486X. JSTOR 2946631.

harvard.edu

ui.adsabs.harvard.edu

Idrissi, Najib (2016-08-29). "The Lambrechts–Stanley Model of Configuration Spaces". Inventiones Mathematicae. 216: 1–68. arXiv:1608.08054. Bibcode:2016arXiv160808054I. doi:10.1007/s00222-018-0842-9. S2CID 102354039.

jstor.org

Fulton, William; MacPherson, Robert (January 1994). "A Compactification of Configuration Spaces". Annals of Mathematics. 139 (1): 183. doi:10.2307/2946631. ISSN 0003-486X. JSTOR 2946631.

semanticscholar.org

api.semanticscholar.org

Farber, Michael; Grant, Mark (2009). "Topological complexity of configuration spaces". Proceedings of the American Mathematical Society. 137 (5): 1841–1847. arXiv:0806.4111. doi:10.1090/S0002-9939-08-09808-0. MR 2470845. S2CID 16188638.
Chettih, Safia; Lütgehetmann, Daniel (2018). "The Homology of Configuration Spaces of Trees with Loops". Algebraic & Geometric Topology. 18 (4): 2443–2469. arXiv:1612.08290. doi:10.2140/agt.2018.18.2443. S2CID 119168700.
Arnold, Vladimir (1969). "The cohomology ring of the colored braid group". Vladimir I. Arnold — Collected Works (in Russian). Vol. 5. Translated by Victor Vassiliev. pp. 227–231. doi:10.1007/978-3-642-31031-7_18. ISBN 978-3-642-31030-0. ISSN 0025-567X. MR 0242196. S2CID 122699084.
Salvatore, Paolo; Longoni, Riccardo (2005), "Configuration spaces are not homotopy invariant", Topology, 44 (2): 375–380, arXiv:math/0401075, doi:10.1016/j.top.2004.11.002, S2CID 15874513
Idrissi, Najib (2016-08-29). "The Lambrechts–Stanley Model of Configuration Spaces". Inventiones Mathematicae. 216: 1–68. arXiv:1608.08054. Bibcode:2016arXiv160808054I. doi:10.1007/s00222-018-0842-9. S2CID 102354039.
Farley, Daniel; Sabalka, Lucas (2005). "Discrete Morse theory and graph braid groups". Algebraic & Geometric Topology. 5 (3): 1075–1109. arXiv:math/0410539. doi:10.2140/agt.2005.5.1075. MR 2171804. S2CID 119715655.
Shvalb, Nir; Shoham, Moshe; Blanc, David (2005). "The configuration space of arachnoid mechanisms". Forum Mathematicum. 17 (6): 1033–1042. doi:10.1515/form.2005.17.6.1033. S2CID 121995780.

worldcat.org

search.worldcat.org

Arnold, Vladimir (1969). "The cohomology ring of the colored braid group". Vladimir I. Arnold — Collected Works (in Russian). Vol. 5. Translated by Victor Vassiliev. pp. 227–231. doi:10.1007/978-3-642-31031-7_18. ISBN 978-3-642-31030-0. ISSN 0025-567X. MR 0242196. S2CID 122699084.
Bott, Raoul; Taubes, Clifford (1994-10-01). "On the self-linking of knots". Journal of Mathematical Physics. 35 (10): 5247–5287. doi:10.1063/1.530750. ISSN 0022-2488.
Fulton, William; MacPherson, Robert (January 1994). "A Compactification of Configuration Spaces". Annals of Mathematics. 139 (1): 183. doi:10.2307/2946631. ISSN 0003-486X. JSTOR 2946631.