@article{ BGSS:CohomologyFractals, author = {Bachmann, David and Goerner, Matthias and Schleimer, Saul and Segerman, Henry}, title = {Cohomology fractals, {C}annon-{T}hurston maps, and the geodesic flow}, journal = {Exp. Math.}, fjournal = {Experimental Mathematics}, volume = {31}, year={2022}, number={4}, pages={1047--1085}, doi = {10.1080/10586458.2021.1994059}, eprint = {arXiv:2010.05840v2} archivePrefix = { arXiv }, Zbl = {7628927} } @article{ Goerner:finiteTrigs, author = { Goerner, Matthias }, title = { Verified computations for closed hyperbolic 3-manifolds }, journal = { {Bull. Lond. Math. Soc.} }, fJournal = { {Bulletin of the London Mathematical Society} }, year = { 2021 }, volume = { 53 }, number = { 2 }, pages = { 596--618 }, doi = { https://doi.org/10.1112/blms.12445 }, eprint = { arXiv:1904.12095 }, archivePrefix = { arXiv } } @article{ BGR:PrinCong, author = { Baker, Mark D. and Goerner, Matthias and Reid, Alan W. }, title = { All principal congruence link groups }, fJournal = { {Journal of Algebra} }, journal = { {J. Algebra} }, issn = { 0021-8693 }, volume = { 528 }, pages = { 497--504 }, year = { 2019 }, publisher = { Elsevier (Academic Press), San Diego, CA }, language = { English }, MSC2010 = { 57M25 }, eprint = { arXiv:1802.01275 }, archivePrefix = { arXiv }, Zbl = { 1431.57025 }, } @article{ BGR:PrinCongTechnicalReport, author = { Baker, Mark D. and Goerner, Matthias and Reid, Alan W. }, title = { Technical Report: {A}ll Principal Congruence Link Groups }, year = { 2019 }, eprint = { arXiv:1902.04722 }, archivePrefix = { arXiv } } @article{ BGR:PrinCongLinkDiagrams, author = { Baker, Mark D. and Goerner, Matthias and Reid, Alan W. }, title = { All known principal congruence links }, year = { 2019 }, eprint = { arXiv:1902.04426 }, archivePrefix = { arXiv } } @article { GZ:ZeroPtolemy, author = { Matthias {Goerner} and Christian K. {Zickert} }, title = { Triangulation independent {P}tolemy varieties }, fJournal = { {Mathematische Zeitschrift} }, journal = { {Math. Z.} }, issn = { 0025-5874; 1432-1823/e }, volume = { 289 }, number = { 1-2 }, pages = { 663--693 }, year = { 2018 }, publisher = { Springer, Berlin/Heidelberg }, language = { English }, doi = { 10.1007/s00209-017-1970-4 }, MSC2010 = { 57N10 57M27 57M50 13P10 }, eprint = { arXiv:1507.03238 }, archivePrefix = { arXiv }, Zbl = { 1394.57016 } } @article { Goerner:DodecahedralGeometricTriangulation, author = { Goerner, Matthias }, title = { Geodesic triangulations exist for cusped {P}latonic manifolds }, year = { 2017 }, volume = { 23 }, pages = { 1363--1367 }, journal = { New York J. Math. }, fjournal = { New York Journal of Mathematics }, eprint = { arXiv:1602.02208 }, archivePrefix = { arXiv }, Zbl = { 1387.57029 } } @article { Goerner:PlatonicCensus, author = { Goerner, Matthias }, title = { A census of hyperbolic {P}latonic manifolds and Augmented Knotted Trivalent Graphs }, year = { 2017 }, volume = { 23 }, pages = { 527--553 }, journal = { New York J. Math. }, fJournal = { New York Journal of Mathematics }, eprint = { arXiv:1602.02208 }, archivePrefix = { arXiv }, Zbl = { 1371.57016 } } @article { FGGTV:TetrahedralCensus, author = { Fominykh, Evgeny and Garoufalidis, Stavros and Goerner, Matthias and Tarkaev, Vladimir and Vesnin, Andrei }, title = { A census of tetrahedral hyperbolic manifolds }, journal = { Experiment. Math. }, fJournal = { Experimental Mathematics }, volume = { 25 }, year = { 2016 }, number = { 4 }, pages = { 466--481 }, eprint = { arXiv:1502.00383 }, archivePrefix = { arXiv }, Zbl = { 1344.57009 }, MRNUMBER = { 3499710 }, } @article{ Goerner:RegTessLinkComps, author = { Goerner, Matthias }, title = { Regular Tessellation Link Complements }, journal = { Experiment. Math. }, fJournal = { Experimental Mathematics }, volume = { 24 }, year = { 2015 }, number = { 2 }, pages = { 225--246 }, eprint = { arXiv:1406.2827 }, archivePrefix = { arXiv }, Zbl = { 1319.57002 } } @article { GGZ:PtolemyField, author = { Garoufalidis, Stavros and Goerner, Matthias and Zickert, Christian K. }, title = { The {P}tolemy field of 3-manifold representations }, journal = { Algebr. Geom. Topol. }, fJournal = { Algebraic \& Geometric Topology }, volume = { 15 }, year = { 2015 }, number = { 1 }, pages = { 371-397 }, eprint = { arXiv:1401.5542 }, archivePrefix = { arXiv }, Zbl = { 1322.57018 }, } @article { GGZ:GluingEquations, author = { Garoufalidis, Stavros and Goerner, Matthias and Zickert, Christian K. }, title = { Gluing equations for {$\rm{PGL}(n,\mathbb C)$}-representations of 3-manifolds }, journal = { Algebr. Geom. Topol. }, fJournal = { Algebraic \& Geometric Topology }, volume = { 15 }, year = { 2015 }, number = { 1 }, pages = { 565-622 }, eprint = { arXiv:1207.6711 }, archivePrefix = { arXiv }, Zbl = { 1347.57014 } }