Brumfiel, G.; Hilden, H.; Lozano, M. T.; Montesinos-Amilibia, J. M.; Ramírez, E.; Short, H.; Tejada, D.; Toro, M. Universal groups and super regular tesselations. (English) Zbl 1353.57005 Castrillón López, Marco (ed.) et al., A mathematical tribute to Professor José María Montesinos Amilibia on the occasion of his seventieth birthday. Madrid: Universidad Complutense de Madrid, Facultad de Ciencias Matemáticas, Departamento de Geometría y Topología (ISBN 978-84-608-1684-3/pbk). 161-179 (2016). Reviewer: Joseph E. Borzellino (San Luis Obispo) MSC: 57M25 57M12 PDFBibTeX XMLCite \textit{G. Brumfiel} et al., in: A mathematical tribute to Professor José María Montesinos Amilibia on the occasion of his seventieth birthday. Madrid: Universidad Complutense de Madrid, Facultad de Ciencias Matemáticas, Departamento de Geometría y Topología. 161--179 (2016; Zbl 1353.57005)
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On representations of 2-bridge knot groups in quaternion algebras. II: The case of the trefoil knot group. (English) Zbl 1267.57006 J. Knot Theory Ramifications 22, No. 1, Paper No. 1250140, 42 p. (2013). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57M25 57M60 20H15 57M05 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Knot Theory Ramifications 22, No. 1, Paper No. 1250140, 42 p. (2013; Zbl 1267.57006) Full Text: DOI
Hilden, Hugh Michael; Montesinos, José María; Tejada, Débora María; Toro, Margarita María On the classification of 3-bridge links. (English) Zbl 1350.57007 Rev. Colomb. Mat. 46, No. 2, 113-144 (2012). MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Rev. Colomb. Mat. 46, No. 2, 113--144 (2012; Zbl 1350.57007) Full Text: Link
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On representations of 2-bridge knot groups in quaternion algebras. (English) Zbl 1229.57018 J. Knot Theory Ramifications 20, No. 10, 1419-1483 (2011). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 57M50 57M25 57M60 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Knot Theory Ramifications 20, No. 10, 1419--1483 (2011; Zbl 1229.57018) Full Text: DOI arXiv
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, José María On universal hyperbolic orbifold structures in \(S^3\) with the Borromean rings as singularity. (English) Zbl 1227.57006 Hiroshima Math. J. 40, No. 3, 357-370 (2010). Reviewer: Samyon R. Nasyrov (Kazan’) MSC: 57M25 57M12 57M50 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Hiroshima Math. J. 40, No. 3, 357--370 (2010; Zbl 1227.57006)
Hilden, Hugh M.; Ramírez-Losada, Enrique On universal Kleinian groups generated by \(180^\circ \) rotations. (English) Zbl 1237.57004 J. Knot Theory Ramifications 19, No. 11, 1457-1470 (2010). Reviewer: Andrei Vesnin (Novosibirsk) MSC: 57M25 57M12 57M50 PDFBibTeX XMLCite \textit{H. M. Hilden} and \textit{E. Ramírez-Losada}, J. Knot Theory Ramifications 19, No. 11, 1457--1470 (2010; Zbl 1237.57004) Full Text: DOI
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, Jose Maria On the affine representations of the trefoil knot group. arXiv:1003.3554 Preprint, arXiv:1003.3554 [math.GT] (2010). MSC: 57M25 57M60 20H15 BibTeX Cite \textit{H. M. Hilden} et al., ``On the affine representations of the trefoil knot group'', Preprint, arXiv:1003.3554 [math.GT] (2010) Full Text: arXiv OA License
Brumfiel, G.; Hilden, H.; Lozano, M. T.; Montesinos-Amilibia, J. M.; Ramirez-Losada, E.; Short, H.; Tejada, D.; Toro, M. On finite index subgroups of a universal group. (English) Zbl 1207.57007 Bol. Soc. Mat. Mex., III. Ser. 14, No. 2, 283-301 (2008). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 57M12 57M25 57M50 57M60 PDFBibTeX XMLCite \textit{G. Brumfiel} et al., Bol. Soc. Mat. Mex., III. Ser. 14, No. 2, 283--301 (2008; Zbl 1207.57007) Full Text: arXiv
Brumfiel, G.; Hilden, H.; Lozano, M. T.; Montesinos-Amilibia, J. M.; Ramirez-Losada, E.; Short, H.; Tejada, D.; Toro, M. Three manifolds as geometric branched coverings of the three sphere. (English) Zbl 1205.57005 Bol. Soc. Mat. Mex., III. Ser. 14, No. 2, 263-282 (2008). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M12 57M25 57M50 57N10 PDFBibTeX XMLCite \textit{G. Brumfiel} et al., Bol. Soc. Mat. Mex., III. Ser. 14, No. 2, 263--282 (2008; Zbl 1205.57005) Full Text: arXiv
Hilden, Hugh M.; Montesinos-Amilibia, José M.; Tejada, Débora M.; Toro, Margarita M. Fox coloured knots and triangulations of \(S^{3}\). (English) Zbl 1154.57006 Math. Proc. Camb. Philos. Soc. 141, No. 3, 443-463 (2006). Reviewer: Frank Lutz (Berlin) MSC: 57M25 57M12 57N10 57Q15 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Math. Proc. Camb. Philos. Soc. 141, No. 3, 443--463 (2006; Zbl 1154.57006) Full Text: DOI
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On hyperbolic 3-manifolds with an infinite number of fibrations over \(S^1\). (English) Zbl 1087.57010 Math. Proc. Camb. Philos. Soc. 140, No. 1, 79-93 (2006). Reviewer: Masakazu Teragaito (Hiroshima) MSC: 57M50 57M25 55R10 57N10 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Math. Proc. Camb. Philos. Soc. 140, No. 1, 79--93 (2006; Zbl 1087.57010) Full Text: DOI
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María Peripheral polynomials of hyperbolic knots. (English) Zbl 1076.57012 Topology Appl. 150, No. 1-3, 267-288 (2005). Reviewer: Alexandru Dimca (Nice) MSC: 57M27 14Q05 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Topology Appl. 150, No. 1--3, 267--288 (2005; Zbl 1076.57012) Full Text: DOI
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On 2-universal knots. (English) Zbl 1096.57002 Bol. Soc. Mat. Mex., III. Ser. 10, Spec. Iss., 239-253 (2004). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M25 57M12 57M50 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Bol. Soc. Mat. Mex., III. Ser. 10, 239--253 (2004; Zbl 1096.57002)
Hilden, Hugh M.; Lozano, María Teresa; Montesinos Amilibia, José María Character varieties and peripheral polynomials of a class of knots. (English) Zbl 1057.57005 J. Knot Theory Ramifications 12, No. 8, 1093-1130 (2003). Reviewer: Hitoshi Murakami (Tokyo) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Knot Theory Ramifications 12, No. 8, 1093--1130 (2003; Zbl 1057.57005) Full Text: DOI
Hilden, Hugh M.; Tejada, Debora M.; Toro, Margarita M. Tunnel number one knots have palindrome presentations. (English) Zbl 1023.57005 J. Knot Theory Ramifications 11, No. 5, 815-831 (2002). MSC: 57M25 57M05 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Knot Theory Ramifications 11, No. 5, 815--831 (2002; Zbl 1023.57005) Full Text: DOI
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On the character variety of tunnel number 1 knots. (English) Zbl 1018.57002 J. Lond. Math. Soc., II. Ser. 62, No. 3, 938-950 (2000). Reviewer: Jerome Levine (Waltham) MSC: 57M25 57M50 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Lond. Math. Soc., II. Ser. 62, No. 3, 938--950 (2000; Zbl 1018.57002) Full Text: DOI
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On the character variety of periodic knots and links. (English) Zbl 0974.57004 Math. Proc. Camb. Philos. Soc. 129, No. 3, 477-490 (2000). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Math. Proc. Camb. Philos. Soc. 129, No. 3, 477--490 (2000; Zbl 0974.57004) Full Text: DOI
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María The Chern-Simons invariants of hyperbolic manifolds via covering spaces. (English) Zbl 0932.57006 Bull. Lond. Math. Soc. 31, No. 3, 354-366 (1999). Reviewer: B.Zimmermann (Trieste) MSC: 57M12 57M50 57M10 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Bull. Lond. Math. Soc. 31, No. 3, 354--366 (1999; Zbl 0932.57006) Full Text: DOI
Brumfiel, G. W.; Hilden, H. M. \(\text{SL}(2)\) representations of finitely presented groups. (English) Zbl 0838.20006 Contemporary Mathematics. 187. Providence, RI: American Mathematical Society (AMS). 196 p. (1995). Reviewer: G.Burde (Frankfurt am Main) MSC: 20C15 20-02 20C07 57M25 20F05 57M07 20G05 PDFBibTeX XMLCite \textit{G. W. Brumfiel} and \textit{H. M. Hilden}, \(\text{SL}(2)\) representations of finitely presented groups. Providence, RI: AMS, American Mathematical Society (1995; Zbl 0838.20006) Full Text: DOI
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, Jose Maria On the arithmetic 2-bridge knots and link orbifolds and a new knot invariant. (English) Zbl 0844.57006 J. Knot Theory Ramifications 4, No. 1, 81-114 (1995). MSC: 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Knot Theory Ramifications 4, No. 1, 81--114 (1995; Zbl 0844.57006) Full Text: DOI
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, José Maria Universal 2-bridge knot and link orbifolds. (English) Zbl 0814.57012 J. Knot Theory Ramifications 2, No. 2, 141-148 (1993). Reviewer: Y.Nakanishi (Kobe) MSC: 57N10 57M50 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., J. Knot Theory Ramifications 2, No. 2, 141--148 (1993; Zbl 0814.57012) Full Text: DOI
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos-Amilibia, Jose Maria On the character variety of group representations of a \(2\)-bridge link \(p/3\) into \(\text{PSL}(2,\mathbb{C})\). (English) Zbl 0838.20009 Bol. Soc. Mat. Mex., II. Ser. 37, No. 1-2, 241-262 (1992). Reviewer: G.Burde (Frankfurt am Main) MSC: 20C15 57M25 57M05 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Bol. Soc. Mat. Mex., II. Ser. 37, No. 1--2, 241--262 (1992; Zbl 0838.20009)
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, Jose María The arithmeticity of the figure eight knot orbifolds. (English) Zbl 0767.57004 Topology ’90, Contrib. Res. Semester Low Dimensional Topol., Columbus/OH (USA) 1990, Ohio State Univ. Math. Res. Inst. Publ. 1, 169-183 (1992). Reviewer: D.B.Gauld (Auckland) MSC: 57M25 57M12 57M50 20F34 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Ohio State Univ. Math. Res. Inst. Publ. 1, 169--183 (1992; Zbl 0767.57004)
Hilden, Hugh M.; Lozano, María Teresa; Montesinos-Amilibia, José María On the Borromean orbifolds: Geometry and arithmetic. (English) Zbl 0787.57001 Topology ’90, Contrib. Res. Semester Low Dimensional Topol., Columbus/OH (USA) 1990, Ohio State Univ. Math. Res. Inst. Publ. 1, 133-167 (1992). Reviewer: M.Sakuma (Osaka) MSC: 57M12 57M50 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Ohio State Univ. Math. Res. Inst. Publ. 1, 133--167 (1992; Zbl 0787.57001)
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos, José Maria On the universal group of the Borromean rings. (English) Zbl 0685.57005 Differential topology, Proc. 2nd Topology Symp., Siegen/FRG 1987, Lect. Notes Math. 1350, 1-13 (1988). Reviewer: J.Przytycki MSC: 57N10 57N12 51M10 57M25 PDFBibTeX XML
Hilden, H. M.; Lozano, M. T.; Montesinos, J. M. Non-simple universal knots. (English) Zbl 0858.57009 Math. Proc. Camb. Philos. Soc. 102, No. 1, 87-95 (1987). MSC: 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Math. Proc. Camb. Philos. Soc. 102, 87--95 (1987; Zbl 0858.57009) Full Text: DOI
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos, José María Universal knots. (English) Zbl 0587.57006 Knot theory and manifolds, Proc. Conf., Vancouver/Can. 1983, Lect. Notes Math. 1144, 25-59 (1985). Reviewer: L.Traldi MSC: 57N10 57M12 57M25 PDFBibTeX XML
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos, José María On knots that are universal. (English) Zbl 0582.57002 Topology 24, 499-504 (1985). Reviewer: Y.Nakanishi MSC: 57M12 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Topology 24, 499--504 (1985; Zbl 0582.57002) Full Text: DOI
Hilden, Hugh M.; Lozano, Maria Teresa; Montesinos, José María The Whitehead link, the Borromean rings and the knot \(9_{46}\) are universal. (English) Zbl 0554.57004 Collect. Math. 34, 19-28 (1983). Reviewer: K.Murasugi MSC: 57M25 57M12 57N10 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Collect. Math. 34, 19--28 (1983; Zbl 0554.57004) Full Text: EuDML
Hilden, Hugh M.; Lozano, M. T.; Montesinos, José María Universal knots. (English) Zbl 0531.57003 Bull. Am. Math. Soc., New Ser. 8, 449-450 (1983). Reviewer: M.Sakuma MSC: 57M12 57N10 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden} et al., Bull. Am. Math. Soc., New Ser. 8, 449--450 (1983; Zbl 0531.57003) Full Text: DOI
Hilden, Hugh M. Representations of homology 3-spheres. (English) Zbl 0479.57006 Pac. J. Math. 94, 125-129 (1981). MSC: 57N10 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden}, Pac. J. Math. 94, 125--129 (1981; Zbl 0479.57006) Full Text: DOI
Hilden, Hugh M. Three-fold branched coverings of \(S^3\). (English) Zbl 0342.57002 Am. J. Math. 98, 989-997 (1976). MSC: 57N10 53C20 57M10 57M25 57M40 PDFBibTeX XMLCite \textit{H. M. Hilden}, Am. J. Math. 98, 989--997 (1976; Zbl 0342.57002) Full Text: DOI
Hilden, Hugh M. Generators for two subgroups related to the braid group. (English) Zbl 0317.57005 Pac. J. Math. 59, 475-486 (1975). MSC: 57N10 55P99 57M25 PDFBibTeX XMLCite \textit{H. M. Hilden}, Pac. J. Math. 59, 475--486 (1975; Zbl 0317.57005) Full Text: DOI
Birman, Joan S.; Hilden, Hugh M. Heegaard splittings of branched coverings of \(S^3\). (English) Zbl 0312.55004 Trans. Am. Math. Soc. 213, 315-352 (1975). MSC: 57M40 57M05 57M10 57M25 57M35 PDFBibTeX XMLCite \textit{J. S. Birman} and \textit{H. M. Hilden}, Trans. Am. Math. Soc. 213, 315--352 (1975; Zbl 0312.55004) Full Text: DOI
Hilden, Hugh M. Every closed orientable 3-manifold is a 3-fold branched covering space of S\(^3\). (English) Zbl 0298.55001 Bull. Am. Math. Soc. 80, 1243-1244 (1974). MSC: 57M10 57M25 57N10 PDFBibTeX XMLCite \textit{H. M. Hilden}, Bull. Am. Math. Soc. 80, 1243--1244 (1974; Zbl 0298.55001) Full Text: DOI
Birman, Joan S.; Hilden, Hugh M. The homeomorphism problem for S\(^3\). (English) Zbl 0272.57001 Bull. Am. Math. Soc. 79, 1006-1010 (1973). MSC: 57M40 57M25 57N10 PDFBibTeX XMLCite \textit{J. S. Birman} and \textit{H. M. Hilden}, Bull. Am. Math. Soc. 79, 1006--1010 (1973; Zbl 0272.57001) Full Text: DOI