Hugh M. Hilden

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All published works

Action	Title	Year	Authors
+	Harmonic manifolds and embedded surfaces arising from a super regular tesselation	2017	G. W. Brumfiel Hugh M. Hilden María Teresa Lozano J. M. Montesinos Erick García Ramírez Hamish Short D. Tejada Margarita Toro
+	Erratum to `Isotopies of homeomorphisms of Riemann surfaces'	2016	Joan S. Birman Hugh M. Hilden
+	$$H^3$$ H 3 as a harmonic branched covering of $$E^3$$ E 3	2016	G. W. Brumfiel Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia Enrique Ramı́rez-Losada Hamish Short D. Tejada Margarita Toro
+	Universal groups and super regular tesselations	2016	G. W. Brumfiel Hugh M. Hilden María Teresa Lozano José María Montesinos Amilibia E. Ramírez Hamish Short Débora Tejada Margarita Toro
+	ON REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS IN QUATERNION ALGEBRAS II: THE CASE OF THE TREFOIL KNOT GROUP	2012	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	A new representation of Links: Butterflies	2012	Hugh M. Hilden J. M. Montesinos D. Tejada Margarita Toro
+ PDF Chat	ON REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS IN QUATERNION ALGEBRAS	2011	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	Artifacts for Stamping Symmetric Designs	2011	Hugh M. Hilden J. M. Montesinos D. Tejada Margarita Toro
+	On universal hyperbolic orbifold structures in $S^{3}$ with the Borromean rings as singularity	2010	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	ON UNIVERSAL KLEINIAN GROUPS GENERATED BY 180° ROTATIONS	2010	Hugh M. Hilden Enrique Ramı́rez-Losada
+	On representations of 2-bridge knot groups in quaternion algebras	2010	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	On the affine representations of the trefoil knot group	2010	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	On representations of 2-bridge knot groups in quaternion algebras	2010	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	Three manifolds as geometric branched coverings of the three sphere	2007	G. W. Brumfiel Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia Enrique Ramı́rez-Losada Hamish Short D. Tejada Margarita Toro
+	On finite index subgroups of a universal group	2007	G. W. Brumfiel Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia Enrique Ramı́rez-Losada Hamish Short D. Tejada Doris H. Toro
+	Fox coloured knots and triangulations of $S^{3}$	2006	Hugh M. Hilden José María Montesinos-Amilibia Débora Tejada Margarita Toro
+	On hyperbolic 3-manifolds with an infinite number of fibrations over S 1	2006	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	Representing 3{manifolds by triangulations of S 3 : a constructive approach	2005	Hugh M. Hilden José María Montesinos Amilibia Débora Tejada Margarita Toro
+	Peripheral polynomials of hyperbolic knots	2005	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	Knots, butterflies and 3-manifolds	2004	Hugh M. Hilden José María Montesinos Amilibia Débora Tejada Margarita Toro
+	CHARACTER VARIETIES AND PERIPHERAL POLYNOMIALS OF A CLASS OF KNOTS	2003	Hugh M. Hilden María Teresa Lozano José María Montesinos Amilibia
+	TUNNEL NUMBER ONE KNOTS HAVE PALINDROME PRESENTATIONS	2002	Hugh M. Hilden Débora Tejada Margarita Toro
+	Simplificacion de presentaciones de grupos	2002	Hugh M. Hilden Débora Tejada Margarita Toro
+	Peripheral polynomials of hyperbolic knots (revisado)	2001	Hugh M. Hilden María Teresa Lozano Imìzcoz José María Montesinos Amilibia
+	On the Character Variety of Tunnel Number 1 Knots	2000	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	On the character variety of periodic knots and links	2000	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	The Chern-Simons Invariants of Hyperbolic Manifolds Via Covering Spaces	1999	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	VOLUMES AND CHERN-SIMONS INVARIANTS OF CYCLIC COVERINGS OVER RATIONAL KNOTS	1996	Hugh M. Hilden María Teresa Lozano JOSÉ MARAÍA MONTESINOS-AMILIBIA
+	On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds	1996	Hugh M. Hilden Teresa Bonilla Lozano
+	SL(2 Representations of Finitely Presented Groups	1995	Gregory W. Brumfiel Hugh M. Hilden
+	ON THE ARITHMETIC 2-BRIDGE KNOTS AND LINK ORBIFOLDS AND A NEW KNOT INVARIANT	1995	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	On a Remarkable Polyhedron Geometrizing the Figure Eight Knot Cone Manifolds	1995	Hugh M. Hilden
+	Chapter 10. Some Knot Invariants Derived from the Algebra 𝐻[𝜋]	1995	G. W. Brumfiel Hugh M. Hilden
+	Chapter 8. Algebro-Geometric Interpretation of SL(2) Representations of Groups	1995	G. W. Brumfiel Hugh M. Hilden
+	Chapter 9. The Universal Matrix Representation of the Algebra 𝐻[𝜋]	1995	G. W. Brumfiel Hugh M. Hilden
+	Chapter 5. Further Identities in the Algebra 𝐻[𝜋] when \𝑓𝑟𝑎𝑐{1}2∈𝑘	1995	G. W. Brumfiel Hugh M. Hilden
+	Chapter 3. Structure of the Algebra 𝐻[𝜋] for Two-Generator Groups	1995	G. W. Brumfiel Hugh M. Hilden
+ PDF Chat	Chapter 1. The Definition and Some Basic Properties of the Algebra 𝐻[𝜋]	1995	G. W. Brumfiel Hugh M. Hilden
+	Chapter 4. Absolutely Irreducible 𝑆𝐿(2) Representations of Two-Generator Groups	1995	G. W. Brumfiel Hugh M. Hilden
+	𝑆𝐿(2) Representations of Finitely Presented Groups	1995	G. W. Brumfiel Hugh M. Hilden
+	UNIVERSAL 2-BRIDGE KNOT AND LINK ORBIFOLDS	1993	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+ PDF Chat	On the Borromean Orbifolds: Geometry and Arithmetic	1992	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	The Arithmeticity of the Figure Eight Knot Orbifolds	1992	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	A Characterization of Arithmetic Subgroups ofSL (2, ℝ) andSL (2, ℂ)	1992	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+	On the universal group of the Borromean rings	1988	Hugh M. Hilden María Teresa Lozano José María Montesinos
+	On universal groups and three-manifolds	1987	Hugh M. Hilden María Teresa Lozano J. M. Montesinos Wilbur Whitten
+	Non-simple universal knots	1987	Hugh M. Hilden María Teresa Lozano J. M. Montesinos
+	On knots that are universal	1985	Hugh M. Hilden María Teresa Lozano JoséMaría Montesinos
+	Universal knots	1985	Hugh M. Hilden María Teresa Lozano José M. Montesino
+	All Three-Manifolds are Pullbacks of a Branched Covering S 3 to S 3	1983	Hugh M. Hilden María Teresa Lozano Jose Maria Montesinos
+ PDF Chat	All three-manifolds are pullbacks of a branched covering 𝑆³ to 𝑆³	1983	Hugh M. Hilden María Teresa Lozano José María Montesinos
+ PDF Chat	Universal knots	1983	Hugh M. Hilden María Teresa Lozano José María Montesinos
+ PDF Chat	Representations of homology 3-spheres	1981	Hugh M. Hilden
+ PDF Chat	Lifting Surgeries to Branched Covering Spaces	1980	Hugh M. Hilden Jose Maria Montesinos
+ PDF Chat	Cobordism of branched covering spaces	1980	Hugh M. Hilden Robert D. Little
+ PDF Chat	Lifting surgeries to branched covering spaces	1980	Hugh M. Hilden José María Montesinos
+ PDF Chat	Embeddings and branched covering spaces for three and four dimensional manifolds	1978	Hugh M. Hilden
+	A method of constructing 3-manifolds and its application to the computation of the 𝜇-invariant	1978	Hugh M. Hilden José María Montesinos
+ PDF Chat	Closed oriented 3-manifolds as 3-fold branched coverings of<i>S</i><sup>3</sup>of special type	1976	Hugh M. Hilden José María Montesinos-Amilibia Thomas L. Thickstun
+	Heegaard Splittings of Branched Coverings of S 3	1975	Joan S. Birman Hugh M. Hilden
+ PDF Chat	Generators for two groups related to the braid group	1975	Hugh M. Hilden
+ PDF Chat	Heegaard splittings of branched coverings of 𝑆³	1975	Joan S. Birman Hugh M. Hilden
+ PDF Chat	Every closed orientable 3-manifold is a 3-fold branched covering space of $S^3$	1974	Hugh M. Hilden
+ PDF Chat	On Isotopies of Homeomorphisms of Riemann Surfaces	1973	Joan S. Birman Hugh M. Hilden
+ PDF Chat	The homeomorphism problem for 𝑆³	1973	Joan S. Birman Hugh M. Hilden
+ PDF Chat	Random functions in H ?	1973	George Csordás Hugh M. Hilden T. S. Pitcher
+ PDF Chat	Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin's braid group	1972	Joan S. Birman Hugh M. Hilden
+ PDF Chat	The cluster set of the product of two functions in $H^{\infty}$.	1972	George Csordás Hugh M. Hilden
+	On the Mapping Class Group of Closed Surfaces as Covering Spaces	1971	Joan S. Birman Hugh M. Hilden
+	A characterization of the extreme points of some convex sets of analytic functions	1970	Hugh M. Hilden

Common Coauthors

Coauthor	Papers Together
María Teresa Lozano	31
José María Montesinos-Amilibia	20
G. W. Brumfiel	12
Margarita Toro	11
Joan S. Birman	7
D. Tejada	6
Débora Tejada	6
Hamish Short	5
José María Montesinos Amilibia	5
José María Montesinos	5
J. M. Montesinos	5
Enrique Ramı́rez-Losada	4
George Csordás	2
Jose Maria Montesinos	2
JOSÉ MARAÍA MONTESINOS-AMILIBIA	1
Thomas L. Thickstun	1
Teresa Bonilla Lozano	1
Gregory W. Brumfiel	1
T. S. Pitcher	1
José M. Montesino	1
Wilbur Whitten	1
G. W. Brumfiel	1
Robert D. Little	1
Doris H. Toro	1
María Teresa Lozano Imìzcoz	1
Erick García Ramírez	1
José María Montesinos-Amilibia	1
JoséMaría Montesinos	1
E. Ramírez	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On knots that are universal	1985	Hugh M. Hilden María Teresa Lozano JoséMaría Montesinos	8
+	On universal groups and three-manifolds	1987	Hugh M. Hilden María Teresa Lozano J. M. Montesinos Wilbur Whitten	7
+	The Whitehead link, the Borromean rings and the knot 946 are universal.	1983	Hugh Michael Hilden María Teresa Lozano Imìzcoz José María Montesinos Amilibia	6
+	Varieties of Group Representations and Splittings of 3-Manifolds	1983	Marc Culler Peter B. Shalen	6
+	On the character variety of group representations in SL(2, ℂ) and PSL(2, ℂ)	1993	F. González-Acuña José María Montesinos-Amilibia	4
+ PDF Chat	Every closed orientable 3-manifold is a 3-fold branched covering space of $S^3$	1974	Hugh M. Hilden	4
+	THREE-MANIFOLDS AS 3-FOLD BRANCHED COVERS OF <i>S</i><sup>3</sup>	1976	José María Montesinos	4
+	VOLUMES AND CHERN-SIMONS INVARIANTS OF CYCLIC COVERINGS OVER RATIONAL KNOTS	1996	Hugh M. Hilden María Teresa Lozano JOSÉ MARAÍA MONTESINOS-AMILIBIA	4
+	Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups	1987	Colin M. MacLachlan Alan W. Reid	4
+	ON THE ARITHMETIC 2-BRIDGE KNOTS AND LINK ORBIFOLDS AND A NEW KNOT INVARIANT	1995	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia	4
+	Geometry and Topology of Manifolds	2007	William P. Thurston	4
+ PDF Chat	A representation of closed, orientable 3-manifolds as 3-fold branched coverings of 𝑆³	1974	José María Montesinos	4
+	Knots and Links	1976	Dale Rolfsen	4
+	The fundamental group of the orbit space of a discontinuous group	1968	M. A. Armstrong	4
+	The geometry and topology of three-manifolds	1979	William P. Thurston	3
+	The degree and branch set of a branched covering	1978	Israel Berstein Allan L. Edmonds	3
+ PDF Chat	Virtually regular coverings	1989	María Teresa Lozano Carmen Safont	3
+	Simply-Connected Branched Coverings of S 3	1972	C. McA. Gordon W. Heil	3
+	CHARACTER VARIETIES AND PERIPHERAL POLYNOMIALS OF A CLASS OF KNOTS	2003	Hugh M. Hilden María Teresa Lozano José María Montesinos Amilibia	3
+	REMARKS ON THE A-POLYNOMIAL OF A KNOT	1996	D. Cooper D. D. Long	3
+ PDF Chat	Algebra for Heckoid groups	1992	Robert W. Riley	3
+	The algebraic theory of quadratic forms	1973	T. Y. Lam	3
+	Universal knots	1985	Hugh M. Hilden María Teresa Lozano José M. Montesino	3
+ PDF Chat	On the Construction of Branched Coverings of Low-Dimensional Manifolds	1979	Israel Berstein Allan L. Edmonds	3
+	NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS	1984	Robert W. Riley	3
+	On a Remarkable Polyhedron Geometrizing the Figure Eight Knot Cone Manifolds	1995	Hugh M. Hilden	3
+ PDF Chat	On the Borromean Orbifolds: Geometry and Arithmetic	1992	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia	3
+ PDF Chat	A characterization of arithmetic Fuchsian groups	1975	Kisao Takeuchi	3
+ PDF Chat	Three-dimensional affine crystallographic groups	1983	David Fried William M. Goldman	3
+	UNIVERSAL 2-BRIDGE KNOT AND LINK ORBIFOLDS	1993	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia	2
+ PDF Chat	On the construction of branched coverings of low-dimensional manifolds	1979	Israel Berstein Allan L. Edmonds	2
+ PDF Chat	Über involutionen der 3-sphäre	1969	Friedhelm Waldhausen	2
+ PDF Chat	Mutation and the $\eta$-invariant	1990	Robert Meyerhoff Daniel Ruberman	2
+	The Arithmeticity of the Figure Eight Knot Orbifolds	1992	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia	2
+	Three-Dimensional Geometry and Topology	1997	William P. Thurston Silvio Levy	2
+	The ?-invariant of hyperbolic 3-manifolds	1985	Tomoyoshi Yoshida	2
+	Mapping class groups and their relationship to braid groups	1969	Joan S. Birman	2
+	On the character variety of periodic knots and links	2000	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia	2
+	Non-Euclidean geometry	1961	H. S. M. Coxeter	2
+ PDF Chat	Knot theory and its applications	1997	Kunio Murasugi	2
+ PDF Chat	Nonstandard Lorentz space forms	1985	William M. Goldman	2
+ PDF Chat	Heegaard splittings of branched coverings of 𝑆³	1975	Joan S. Birman Hugh M. Hilden	2
+	Compact 3-Manifolds of Constant Negative Curvature Fibering Over the Circle	1977	Troels Jørgensen	2
+	Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations	1966	Wilhelm Magnus A. Karrass D. Solitar	2
+ PDF Chat	Twisting spun knots	1965	E. C. Zeeman	2
+	None	2003	Virginie Charette Todd A. Drumm William M. Goldman Maria Morrill	2
+ PDF Chat	Note on Riemann spaces	1920	James Alexander	2
+ PDF Chat	4-manifolds, 3-fold covering spaces and ribbons	1978	José María Montesinos	2
+	Peripheral polynomials of hyperbolic knots	2005	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia	2
+	On the character variety of group representations of a 2-bridge link p/3 into PSL(2,C)	1992	Hugh Michael Hilden María Teresa Lozano Imìzcoz José María Montesinos Amilibia	2