C. Petronio

发表

Lectures on Hyperbolic Geometry

R. Benedetti, C. Petronio, 1992 .

On the existence of branched coverings between surfaces with prescribed branch data, I

C. Petronio, E. Pervova, 2005, math/0508434.

COMBED 3-MANIFOLDS WITH CONCAVE BOUNDARY, FRAMED LINKS, AND PSEUDO-LEGENDRIAN LINKS

R. Benedetti, C. Petronio, 2000, math/0001162.

Reidemeister Torsion of 3-Dimensional Euler Structures with Simple Boundary Tangency and Legendrian Knots

R. Benedetti, C. Petronio, 1999, math/9907184.

Algorithmic construction and recognition of hyperbolic 3-manifolds, links, and graphs

C. Petronio, 2010, 1003.4739.

Algorithmic simplification of knot diagrams: new moves and experiments

C. Petronio, A. Zanellati, 2015, 1508.03226.

On certain permutation groups and sums of two squares

C. Petronio, U. Zannier, P. Corvaja, 2008, 0810.0591.

The 191 Orientable Octahedral Manifolds

Carlo Petronio, Damian Heard, Ekaterina Pervova, 2007, Exp. Math..

Small Hyperbolic 3-Manifolds With Geodesic Boundary

C. Petronio, R. Frigerio, B. Martelli, 2002, Exp. Math..

Dehn Filling of the "Magic" 3-manifold

C. Petronio, B. Martelli, 2002, math/0204228.

Reidemeister–Turaev torsion of 3-dimensional¶Euler structures with simple boundary tangency¶and pseudo-Legendrian knots

R. Benedetti, C. Petronio, 2000, math/0002143.

Complexity of geometric three-manifolds and Dehn surgery on the three-rings chain-link

C. Petronio, B. Martelli, 2008 .

Complexity of Geometric Three-manifolds

C. Petronio, B. Martelli, 2003, math/0303249.

A new decomposition theorem for 3-manifolds

C. Petronio, B. Martelli, 2001, math/0105034.

Combinatorial and Geometric Methods in Topology

C. Petronio, E. Pervova, D. Heard, 2007, 0706.4368.

Branched standard spines

R. Benedetti, C. Petronio, 1997 .

Hyperbolic 3-manifolds with geodesic boundary: Enumeration and volume calculation

A. Mednykh, C. Petronio, 2004, math/0411114.

Two-sided bounds for the complexity of cyclic branched coverings of two-bridge links

C. Petronio, A. Vesnin, 2006, math/0612830.

Complexity and T ‐invariant of Abelian and Milnor groups, and complexity of 3‐manifolds

C. Petronio, E. Pervova, 2004, math/0412187.

On Roberts' proof of the Turaev-Walker theorem

R. Benedetti, C. Petronio, 1996 .

Mathematisches Forschungsinstitut Oberwolfach Report No . 22 / 2008 Invariants in Low-Dimensional Topology Organised

M. Polyak, S. Chmutov, S. Duzhin, 2009 .

Feynman diagrams of generalized matrix models and the associated manifolds in dimension four

R. Pietri, C. Petronio, 2000, gr-qc/0004045.

Branched Standard Spines of 3-manifolds

Riccardo Benedetti, Carlo Petronio, R. Benedetti, 1997 .

An exposition of Poincar'e''s Polyhedron Theorem

Carlo Petronio, D. Epstein, C. Petronio, 1994 .

A theorem of Eliashberg and Thurston on foliations and contact structures

C. Petronio, 2013 .

The Hurwitz existence problem for surface branched covers

C. Petronio, 2022, Winter Braids Lecture Notes.

Elementary solution of an infinite sequence of instances of the Hurwitz problem

C. Petronio, T. Ferragut, 2018, 1805.00305.

Torsion Invariants of Combed 3-Manifolds with Boundary Pattern and Legendrian Links

R. Benedetti, C. Petronio, 1998, math/9809148.

Three-Manifolds Having Complexity At Most 9

Bruno Martelli, Carlo Petronio, C. Petronio, 2001, Exp. Math..

Exceptional Dehn surgery on the minimally twisted five-chain link

C. Petronio, B. Martelli, F. Roukema, 2011, 1109.0903.

3-Manifolds with complexity at most 9

C. Petronio, B. Martelli, 2000, math/0005104.

Negatively Oriented Ideal Triangulations and a Proof of Thurston's Hyperbolic Dehn Filling Theorem

C. Petronio, J. Porti, 1999, math/9901045.

Construction and recognition of hyperbolic 3-manifolds with geodesic boundary

C. Petronio, R. Frigerio, C. Petronio, 2001, math/0109012.

An algorithm producing hyperbolicity equations for a link complement in S3

C. Petronio, 1992 .

Algorithmic computation of the crossing number of a link: new moves, conjectures and experiments

C. Petronio, A. Zanellati, 2015 .

TWO-SIDED ASYMPTOTIC BOUNDS FOR THE COMPLEXITY OF SOME CLOSED HYPERBOLIC THREE-MANIFOLDS

C. Petronio, S. Matveev, A. Vesnin, 2006, Journal of the Australian Mathematical Society.

Complexity and Heegaard genus of an infinite class of compact 3-manifolds

C. Petronio, R. Frigerio, B. Martelli, 2002, math/0206156.

A finite graphic calculus for 3-manifolds

Riccardo Benedetti, Carlo Petronio, R. Benedetti, 1995 .

Ideal triangulations of hyperbolic $3$-manifolds

C. Petronio, 2000 .

Partially flat ideal triangulations of cusped hyperbolic 3-manifolds

J. Weeks, C. Petronio, 2000 .

Dehn Filling of Cusped Hyperbolic 3-Manifolds with Geodesic Boundary

C. Petronio, R. Frigerio, B. Martelli, 2003, math/0301114.

On colored Turaev-Viro invariants for links in arbitrary 3-manifolds

C. Petronio, E. Pervova, 2008, 0801.1620.

Generic flows on 3-manifolds

C. Petronio, 2012, 1211.6445.

Triangulations of 3-manifolds, hyperbolic relative handlebodies, and Dehn filling

C. Petronio, R. Frigerio, B. Martelli, 2004, math/0402339.

Branched spines and contact structures on 3-manifolds

R. Benedetti, C. Petronio, 1998, math/9809169.

COMPLEXITY OF LINKS IN 3-MANIFOLDS

C. Petronio, E. Pervova, 2008, 0810.1221.

Two-sided complexity bounds for Löbell manifolds

C. Petronio, S. Matveev, A. Vesnin, 2007 .

BOUNDS FOR THE COMPLEXITY OF BRANCHED COVERINGS

C. Petronio, A. Vesnin, 2006 .

COMBED 3-MANIFOLDS WITH CONCAVE BOUNDARY, FRAMED LINKS, AND PSEUDO-LEGENDRIAN LINKS

R. Benedetti, C. Petronio, 2000, math/0001162.

Spherical splitting of 3-orbifolds

C. Petronio, 2004, Mathematical Proceedings of the Cambridge Philosophical Society.

Thurston's solitaire tilings of the plane

C. Petronio, 1994 .

Non smoothable locally CAT(0) spaces

C. Petronio, R. Frigerio, 2014 .

Ideal Triangulations of Link Complements and Hyperbolicity Equations

C. Petronio, 1997 .

PARTIALLY FLAT IDEAL TRIANGULATIONS OF CUSPED

J. Weeks, C. Petronio, Hyperbolic 3-MANIFOLDS, 2007 .

Branched Spines of 3-Manifolds and Reidemeister Torsion of Euler Structures

R. Benedetti, C. Petronio, Gennaro Amendola, 2001 .

Branched covers of the sphere and the prime-degree conjecture

M. A. Pascali, C. Petronio, 2010, 1010.2888.

Surface branched covers and geometric 2-orbifolds

M. A. Pascali, C. Petronio, 2007, 0709.2026.

On the existence of branched coverings between surfaces with prescribed branch data, I

C. Petronio, E. Pervova, 2005, math/0508434.

Equivalence Between Cameron's Unit Disc and PoincarÉ's Sphere for Symmetric Scattering Characterization and Classification

Marco Martorella, Fabrizio Berizzi, Elisa Giusti, 2007, IEEE Geoscience and Remote Sensing Letters.