Computational topology (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Computational topology" in English language version.

refsWebsite

Global rank English rank

11doi.org

2^nd place

10arxiv.org

69^th place

59^th place

9semanticscholar.org

11^th place

8^th place

2nih.gov

4^th place

1books.google.com

3^rd place

1quantamagazine.org

6,413^th place

4,268^th place

1emis.de

low place

1warwick.ac.uk

4,378^th place

2,689^th place

1katlas.org

low place

1jstor.org

26^th place

20^th place

1harvard.edu

18^th place

17^th place

arxiv.org

Zentner, Raphael (2018). "Integer homology 3-spheres admit irreducible representations in SL(2,C)". Duke Mathematical Journal. 167 (9): 1643–1712. arXiv:1605.08530. doi:10.1215/00127094-2018-0004. S2CID 119275434.
Kuperberg, Greg (2014). "Knottedness is in NP, modulo GRH". Advances in Mathematics. 256: 493–506. arXiv:1112.0845. doi:10.1016/j.aim.2014.01.007. S2CID 12634367.
Burton, Benjamin A.; Hyam Rubinstein, J.; Tillmann, Stephan (2009). "The Weber-Seifert dodecahedral space is non-Haken". Transactions of the American Mathematical Society. 364 (2): 911–932. arXiv:0909.4625. doi:10.1090/S0002-9947-2011-05419-X. S2CID 18435885.
Kuperberg, Greg (2019). "Algorithmic homeomorphism of 3-manifolds as a corollary of geometrization". Pacific Journal of Mathematics. 301: 189–241. arXiv:1508.06720. doi:10.2140/pjm.2019.301.189. S2CID 119298413.
Costantino, Francesco; Thurston, Dylan (2008). "3-manifolds efficiently bound 4-manifolds". Journal of Topology. 1 (3): 703–745. arXiv:math/0506577. doi:10.1112/jtopol/jtn017. S2CID 15119190.
Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas (1999), "The computational complexity of knot and link problems", Journal of the ACM, 46 (2): 185–211, arXiv:math/9807016, doi:10.1145/301970.301971, S2CID 125854
Lackenby, Marc (2021), "The efficient certification of Knottedness and Thurston norm", Advances in Mathematics, 387: 107796, arXiv:1604.00290, doi:10.1016/j.aim.2021.107796, S2CID 119307517
Maria, Clément (2019). "Parameterized complexity of quantum invariants". arXiv:1910.00477 [math.GT].
Przytycki, Jozef H. (2017). "The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming". arXiv:1707.07733 [math.GT].
Aharonov, Dorit; Jones, Vaughan; Landau, Zeph (2005). "A Polynomial Quantum Algorithm for Approximating the Jones Polynomial". arXiv:quant-ph/0511096.

books.google.com

Afra J. Zomorodian, Topology for Computing, Cambridge, 2005, xi

doi.org

Blevins, Ann Sizemore; Bassett, Danielle S. (2020), Sriraman, Bharath (ed.), "Topology in Biology", Handbook of the Mathematics of the Arts and Sciences, Cham: Springer International Publishing, pp. 1–23, doi:10.1007/978-3-319-70658-0_87-1, ISBN 978-3-319-70658-0, S2CID 226695484
Burton, Benjamin A. (2004). "Introducing Regina, the 3-manifold topology software" (PDF). Experimental Mathematics. 13 (3): 267–272. doi:10.1080/10586458.2004.10504538. S2CID 16566807.
Zentner, Raphael (2018). "Integer homology 3-spheres admit irreducible representations in SL(2,C)". Duke Mathematical Journal. 167 (9): 1643–1712. arXiv:1605.08530. doi:10.1215/00127094-2018-0004. S2CID 119275434.
Kuperberg, Greg (2014). "Knottedness is in NP, modulo GRH". Advances in Mathematics. 256: 493–506. arXiv:1112.0845. doi:10.1016/j.aim.2014.01.007. S2CID 12634367.
Burton, Benjamin A.; Hyam Rubinstein, J.; Tillmann, Stephan (2009). "The Weber-Seifert dodecahedral space is non-Haken". Transactions of the American Mathematical Society. 364 (2): 911–932. arXiv:0909.4625. doi:10.1090/S0002-9947-2011-05419-X. S2CID 18435885.
Kuperberg, Greg (2019). "Algorithmic homeomorphism of 3-manifolds as a corollary of geometrization". Pacific Journal of Mathematics. 301: 189–241. arXiv:1508.06720. doi:10.2140/pjm.2019.301.189. S2CID 119298413.
Costantino, Francesco; Thurston, Dylan (2008). "3-manifolds efficiently bound 4-manifolds". Journal of Topology. 1 (3): 703–745. arXiv:math/0506577. doi:10.1112/jtopol/jtn017. S2CID 15119190.
Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas (1999), "The computational complexity of knot and link problems", Journal of the ACM, 46 (2): 185–211, arXiv:math/9807016, doi:10.1145/301970.301971, S2CID 125854
Lackenby, Marc (2021), "The efficient certification of Knottedness and Thurston norm", Advances in Mathematics, 387: 107796, arXiv:1604.00290, doi:10.1016/j.aim.2021.107796, S2CID 119307517
Brown, Edgar H. (1957), "Finite Computability of Postnikov Complexes", Annals of Mathematics (2), 65 (1): 1–20, doi:10.2307/1969664, JSTOR 1969664
Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018). "TDAstats: R pipeline for computing persistent homology in topological data analysis". Journal of Open Source Software. 3 (28): 860. Bibcode:2018JOSS....3..860R. doi:10.21105/joss.00860. PMC 7771879. PMID 33381678.

emis.de

Burton, Benjamin A. (2004). "Introducing Regina, the 3-manifold topology software" (PDF). Experimental Mathematics. 13 (3): 267–272. doi:10.1080/10586458.2004.10504538. S2CID 16566807.

harvard.edu

ui.adsabs.harvard.edu

Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018). "TDAstats: R pipeline for computing persistent homology in topological data analysis". Journal of Open Source Software. 3 (28): 860. Bibcode:2018JOSS....3..860R. doi:10.21105/joss.00860. PMC 7771879. PMID 33381678.

jstor.org

Brown, Edgar H. (1957), "Finite Computability of Postnikov Complexes", Annals of Mathematics (2), 65 (1): 1–20, doi:10.2307/1969664, JSTOR 1969664

katlas.org

"Main_Page", The Knot Atlas.

nih.gov

ncbi.nlm.nih.gov

Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018). "TDAstats: R pipeline for computing persistent homology in topological data analysis". Journal of Open Source Software. 3 (28): 860. Bibcode:2018JOSS....3..860R. doi:10.21105/joss.00860. PMC 7771879. PMID 33381678.

pubmed.ncbi.nlm.nih.gov

Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018). "TDAstats: R pipeline for computing persistent homology in topological data analysis". Journal of Open Source Software. 3 (28): 860. Bibcode:2018JOSS....3..860R. doi:10.21105/joss.00860. PMC 7771879. PMID 33381678.

quantamagazine.org

Chiou, Lyndie (26 March 2024). "Topologists Tackle the Trouble With Poll Placement". Quanta Magazine. Retrieved 1 April 2024.

semanticscholar.org

api.semanticscholar.org

Blevins, Ann Sizemore; Bassett, Danielle S. (2020), Sriraman, Bharath (ed.), "Topology in Biology", Handbook of the Mathematics of the Arts and Sciences, Cham: Springer International Publishing, pp. 1–23, doi:10.1007/978-3-319-70658-0_87-1, ISBN 978-3-319-70658-0, S2CID 226695484
Burton, Benjamin A. (2004). "Introducing Regina, the 3-manifold topology software" (PDF). Experimental Mathematics. 13 (3): 267–272. doi:10.1080/10586458.2004.10504538. S2CID 16566807.
Zentner, Raphael (2018). "Integer homology 3-spheres admit irreducible representations in SL(2,C)". Duke Mathematical Journal. 167 (9): 1643–1712. arXiv:1605.08530. doi:10.1215/00127094-2018-0004. S2CID 119275434.
Kuperberg, Greg (2014). "Knottedness is in NP, modulo GRH". Advances in Mathematics. 256: 493–506. arXiv:1112.0845. doi:10.1016/j.aim.2014.01.007. S2CID 12634367.
Burton, Benjamin A.; Hyam Rubinstein, J.; Tillmann, Stephan (2009). "The Weber-Seifert dodecahedral space is non-Haken". Transactions of the American Mathematical Society. 364 (2): 911–932. arXiv:0909.4625. doi:10.1090/S0002-9947-2011-05419-X. S2CID 18435885.
Kuperberg, Greg (2019). "Algorithmic homeomorphism of 3-manifolds as a corollary of geometrization". Pacific Journal of Mathematics. 301: 189–241. arXiv:1508.06720. doi:10.2140/pjm.2019.301.189. S2CID 119298413.
Costantino, Francesco; Thurston, Dylan (2008). "3-manifolds efficiently bound 4-manifolds". Journal of Topology. 1 (3): 703–745. arXiv:math/0506577. doi:10.1112/jtopol/jtn017. S2CID 15119190.
Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas (1999), "The computational complexity of knot and link problems", Journal of the ACM, 46 (2): 185–211, arXiv:math/9807016, doi:10.1145/301970.301971, S2CID 125854
Lackenby, Marc (2021), "The efficient certification of Knottedness and Thurston norm", Advances in Mathematics, 387: 107796, arXiv:1604.00290, doi:10.1016/j.aim.2021.107796, S2CID 119307517

warwick.ac.uk

Schleimer, Saul (2011). "Sphere Recognition Lies in NP" (PDF) – via University of Warwick.