Roberto Frigerio's research activity

Main research topics:


Non-revised versions of the papers below may be downloaded here.

    Published papers and research books


    2024

  • (with F. Bertolotti) Length functions on mapping class groups and simplicial volumes of mapping tori, Ann. Inst. Fourier 74 (2024), 115-145. 1383-1406.

  • (with E. Grammatica and B. Martelli) Efficient cycles of hyperbolic manifolds, Pacific J. Math 332 (2024), 115-145.


    • 2023

  • (with A. Sisto) Central extensions and bounded cohomology, Ann. H. Lebesgue 6 (2023), 225-258.

  • (with M. Moraschini) Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, Mem. Amer. Math. Soc. 283 (2023), no. 1402, 1-166.


    • 2022

  • (with G. Bargagnati) The simplicial volume of contractible 3-manifolds,
    Trans. Amer. Math. Soc. 375 (2022), no. 5, 3305-3323.

  • Amenable covers and l^1-invisibility, J. Topol. Anal. 14 (2022), no. 2, 421-437.


    • 2021

  • (with M. Moraschini) Ideal simplicial volume of manifolds with boundary,
    Int. Math. Res. Not. IMRN 2021 (2021), no. 7, 89-139.

  • (with A. Maffei) A remark on the Mayer-Vietoris double complex for singular cohomology,
    Homology Homotopy Appl. 23 (2021), 59-68.


    • 2019

  • (with F. Franceschini, M.B. Pozzetti, A. Sisto) The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups,
    Comment. Math. Helv. 94 (2019), no. 1, 89-139.

  • (with M. Moraschini) On volumes of truncated tetrahedra with constrained edge lengths,
    Period. Math. Hungar. 79 (2019), 32-49.


    • 2018

  • Quasi-isometric rigidity of piecewise geometric manifolds,
    Handbook of group actions, Vol. IV, 95-139, Adv. Lect. Math. (ALM), 41 , Int. Press, Somerville, MA, 2018 (edited by L. Ji, A. Papadopoulos, S.-T. Yau).


    • 2017

  • Bounded cohomology of discrete groups,
    Mathematical Surveys and Monographs of the American Mathematical Society 227 (2017), 193pp.

  • (with M. Bucher, C. Pagliantini) A quantitative version of a theorem by Jungreis,
    Geom. Dedicata 187 (2017), 199-218.


    • 2016

  • (with M. Bucher, T. Hartnick) A note on semi-conjugacy for circle actions,
    Enseign. Math. 62 (2016), no. 3-4, 317-360.

  • (with C. Loeh, C. Pagliantini, R. Sauer) Integral foliated simplicial volume for aspherical manifolds,
    Israel J. Math. 216 (2016), no. 2, 707-751.


    • 2015

  • (with M. B. Pozzetti, A. Sisto) Extending higher dimensional quasi-cocycles,
    J. Topol. 8 (2015), 1123-1155.

  • (with M. Bucher, C. Pagliantini) The simplicial volume of 3-manifolds with boundary,
    J. Topol. 8 (2015), 457-475.

  • (with J.F. Lafont and A. Sisto) Rigidity of high dimensional graph manifolds,
    Astérisque 372 , XXI + 177 pages.


    • 2014

  • (with M. Bucher, M. Burger, A. Iozzi, C. Pagliantini, M.B. Pozzetti) Isometric embeddings in bounded cohomology,
    J. Topol. Anal. 6 (2014), 1-25.

  • A note on measure homology,
    Glasg. Math. J. 56 (2014), 87-92.


    • 2013

  • (with R. Benedetti) Levels of knotting of spatial handlebodies,
    Trans. Amer. Math. Soc. 365 (2013), 2099-2167.


    • 2012

  • (with S. Francaviglia and B. Martelli) Stable complexity and simplicial volume of manifolds,
    J. Topology (2012) 5 (2012), 977-1010.

  • (with R. Benedetti and R. Ghiloni) The topology of Helmholtz domains,
    Expo. Math. 30 (2012), 319-375.

  • (with C. Pagliantini) Relative measure homology and continuous bounded cohomology of topological pairs,
    Pacific J. Math. 257 (2012), 91-130.

  • (with R. Benedetti) Alexander quandle lower bounds for link genera,
    J. Knot Theory Ramifications 21 (2012).


    • 2011

  • Continuous cohomology and Gromov's proportionality principle,
    Manuscripta Math. 134 (2011), 435-474


    • 2010

  • (with C. Pagliantini) The simplicial volume of hyperbolic manifolds with geodesic boundary,
    Algebr. Geom. Topol. 10 (2010), 979-1001


    • 2009

  • (with A. Sisto) Characterizing hyperbolic spaces and real trees,
    Geom. Dedicata 142 (2009), 139-149


    • 2007

  • Similar fillings and isolation of cusps of hyperbolic 3-manifolds,
    Pacific J. Math. 229 (2007), 339-364

  • (with F. Costantino, B. Martelli, and C. Petronio) Triangulations of 3-manifolds, hyperbolic relative handlebodies, and Dehn filling,
    Comment. Math. Helv. 82 (2007), 903-933


    • 2006

  • (with B. Martelli) Countable groups are mapping class groups of hyperbolic 3-manifolds,
    Math. Res. Lett. 13 (2006), 897-910

  • Commensurability of hyperbolic manifolds with geodesic boundary,
    Geom. Dedicata 118 (2006), 105-131

  • On deformations of hyperbolic 3-manifolds with geodesic boundary,
    Algebr. Geom. Topol. 6 (2006), 435-457


    • 2005

  • An infinite family of hyperbolic graph complements in S^3,
    J. Knot Theory Ramifications 14 (2005), 479-496


    • 2004

  • Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group,
    Topology Appl. 145 (2004), 69-81

  • (with B. Martelli and C. Petronio) Small hyperbolic 3-manifolds with geodesic boundary,
    Experimental Math. 13 (2004), 177-190

  • (with C. Petronio) Construction and recognition of hyperbolic 3-manifolds with geodesic boundary,
    Trans. Amer. Math. Soc. 356 (2004), 3243-3282


    • 2003

  • (with B. Martelli and C. Petronio) Dehn filling of cusped hyperbolic 3-manifolds with geodesic boundary,
    J. Diff. Geom. 64 (2003), 425-456

  • (with B. Martelli and C. Petronio) Complexity and Heegaard genus of an infinite class of compact 3-manifolds,
    Pacific J. Math. 210 (2003), 283-297

Moreover, here is my PhD thesis, written under the supervision of prof. Carlo Petronio:
  • Deforming triangulations of hyperbolic 3-manifolds with geodesic boundary,
    PhD thesis, defended in February 2005 (PS file available)

    •
More stuff: Back to the main page