John Guaschi

Présentation

Laboratoire de Mathématiques Nicolas Oresme (LMNO) UMR CNRS 6139 Normandie Université Université de Caen Normandie CS 14032 14032 Caen Cedex 5 France.

Ma page web au LMNO, ma liste complète de publications.

Publications

Article dans une revue (33)

On the algebraic K-theory of mapping class groups and of the 5-string braid group of the sphere John Guaschi,Daniel Juan-Pineda Topology and its Applications, 2025, 371, pp.109362. ⟨10.1016/j.topol.2025.109362⟩ Article dans une revue hal-05233315v1
Orbit configuration spaces and the homotopy groups of the pair $(\prod_{1}^{n} M, F_n(M))$ for $M$ either $S^2$ or $RP^2$ Daciberg Lima Gonçalves,John Guaschi Israel Journal of Mathematics, 2024, 261 (1), pp.37-89. ⟨10.1007/s11856-023-2576-7⟩ Article dans une revue hal-03603129v1
Lower central series, surface braid groups, surjections and permutations Paolo Bellingeri,Daciberg Lima Gonçalves,John Guaschi Mathematical Proceedings of the Cambridge Philosophical Society, 2022, 172 (2), pp.373-399. ⟨10.1017/S0305004121000244⟩ Article dans une revue hal-01906514v1
Unrestricted virtual braids and crystallographic braid groups Paolo Bellingeri,John Guaschi,Stavroula Makri Boletin de la Sociedad Matematica Mexicana, 2022, 28 (3), pp.63. ⟨10.1007/s40590-022-00454-3⟩ Article dans une revue hal-04468739v1
Free cyclic actions on surfaces and the Borsuk-Ulam theorem Daciberg Lima Gonçalves,John Guaschi,Vinicius Casteluber Laass Acta Mathematica Sinica English Series, 2022, 38 (10), pp.1803-1822. ⟨10.1007/s10114-022-2202-3⟩ Article dans une revue hal-03630687v1
The Borsuk-Ulam property for homotopy classes of maps between the torus and the Klein bottle -- part 2 Daciberg Lima Gonçalves,John Guaschi,Vinicius Casteluber Laass Topological Methods in Nonlinear Analysis, 2022, 60 (2), pp.491-516. ⟨10.12775/TMNA.2022.005⟩ Article dans une revue hal-03280987v1
Unrestricted virtual braids and crystallographic braid groups Paolo Bellingeri,John Guaschi,Stavroula Makri Boletin de la Sociedad Matematica Mexicana, 2022, 28 (3), pp.63. ⟨10.1007/s40590-022-00454-3⟩ Article dans une revue hal-03592109v1
Crystallographic groups and flat manifolds from surface braid groups Daciberg Lima Gonçalves,John Guaschi,Oscar Ocampo,Carolina de Miranda E Pereiro Journal of Algebra, 2021, 293, pp.107560. ⟨10.1016/j.topol.2020.107560⟩ Article dans une revue hal-03281001v1
Lower central and derived series of semi-direct products, and applications to surface braid groups John Guaschi,Carolina de Miranda E Pereiro Journal of Pure and Applied Algebra, 2020, 224 (7), pp.106309. ⟨10.1016/j.jpaa.2020.106309⟩ Article dans une revue hal-01714012v2
Embeddings of finite groups in $B_n/\Gamma_k(P_n)$ for $k=2, 3$ Daciberg Lima Gonçalves,John Guaschi,Oscar Ocampo Annales de l'Institut Fourier, 2020, 70 (5), pp.2005-2025 Article dans une revue hal-01800722v3
The Borsuk-Ulam property for homotopy classes of maps between the torus and the Klein bottle Daciberg Lima Gonçalves,John Guaschi,Vinicius Casteluber Laass Topological Methods in Nonlinear Analysis, 2020, 56 (2), pp.529--558. ⟨10.12775/TMNA.2020.003⟩ Article dans une revue hal-02404504v1
The Borsuk-Ulam property for homotopy classes of selfmaps of surfaces of Euler characteristic zero Daciberg Lima Gonçalves,John Guaschi,Vinicius Casteluber Laass Journal of Fixed Point Theory and Applications, 2019, pp.21: 65. ⟨10.1007/s11784-019-0693-z⟩ Article dans une revue hal-01350615v1
Almost-crystallographic groups as quotients of Artin braid groups Daciberg Lima Gonçalves,John Guaschi,Oscar Ocampo Journal of Algebra, 2019, 524, pp.160-186. ⟨10.1016/j.jalgebra.2019.01.010⟩ Article dans une revue hal-01800719v2
Embeddings and the (virtual) cohomological dimension of the braid and mapping class groups of surfaces Daciberg Lima Gonçalves,John Guaschi,Miguel Maldonado Confluentes Mathematici, 2018, 10 (1), pp.41-61 Article dans une revue hal-01377681v1
Fixed points of n-valued maps, the fixed point property and the case of surfaces – a braid approach Daciberg Lima Gonçalves,John Guaschi Indagationes Mathematicae, 2018, Virtual special issue - L.E.J. Brouwer after 50 years, 29 (1), pp.91-124. ⟨10.1016/j.indag.2017.03.003⟩ Article dans une revue hal-01469449v1
A quotient of the Artin braid groups related to crystallographic groups Daciberg Lima Gonçalves,John Guaschi,Oscar Ocampo Journal of Algebra, 2017, 474, pp.393-423. ⟨10.1016/j.jalgebra.2016.11.003⟩ Article dans une revue hal-01131589v1
Abelian and metabelian quotient groups of surface braid groups Paolo Bellingeri,Eddy Godelle,John Guaschi Glasgow Mathematical Journal, 2017, 59 (1), pp.119-142. ⟨10.1017/S0017089516000070⟩ Article dans une revue hal-02306960v1
A survey of the homotopy properties of inclusion of certain types of configuration spaces into the Cartesian product Daciberg Lima Gonçalves,John Guaschi Chinese Annals of Mathematics - Series B, 2017, 38 (6), pp.1223-1246. ⟨10.1007/s11401-017-1033-5⟩ Article dans une revue hal-01715128v1
The inclusion of configuration spaces of surfaces in Cartesian products, its induced homomorphism, and the virtual cohomological dimension of the braid groups of S^2 and RP^2 Daciberg Lima Gonçalves,John Guaschi Pacific Journal of Mathematics, 2017, 287 (1), pp.71-99. ⟨10.2140/pjm.2017.287.71⟩ Article dans une revue hal-01222914v1
Fixed points of n-valued maps on surfaces and the Wecken property – a configuration space approach Daciberg Lima Gonçalves,John Guaschi Science China Mathematics, 2017, 60 (9), pp.1561-1574. ⟨10.1007/s11425-017-9080-x⟩ Article dans une revue hal-01469497v2
On the homotopy fibre of the inclusion map $F_n(X) \longrightarrow \prod_1^n X$ for some orbit spaces $X$ Marek Golasinski,Daciberg Lima Gonçalves,John Guaschi Boletin de la Sociedad Matematica Mexicana, 2017, 23 (1), pp.457-485. ⟨10.1007/s40590-016-0150-6⟩ Article dans une revue hal-01356697v1
Minimal generating and normally generating sets for the braid and mapping class groups of the disc, the sphere and the projective plane Daciberg Lima Gonçalves,John Guaschi Mathematische Zeitschrift, 2013, 274 (1-2), pp.667-683. ⟨10.1007/s00209-012-1090-0⟩ Article dans une revue hal-00664589v1
Embeddings of the braid groups of covering spaces, classification of the finite subgroups of the braid groups of the real projective plane, and linearity of braid groups of low-genus surfaces Daciberg Lima Gonçalves,John Guaschi Journal of the London Mathematical Society, 2012, 85 (3), pp.855-868. ⟨10.1112/jlms/jdr071⟩ Article dans une revue hal-00395533v1
The lower central and derived series of the braid groups of the projective plane Daciberg Lima Gonçalves,John Guaschi Journal of Algebra, 2011, 331 (1), pp.96-129. ⟨10.1016/j.jalgebra.2010.12.007⟩ Article dans une revue hal-00485339v1
Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence Daciberg Lima Gonçalves,John Guaschi Journal of Pure and Applied Algebra, 2010, 214 (5), pp.667-677. ⟨10.1016/j.jpaa.2009.07.009⟩ Article dans une revue hal-00378624v1
Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane Daciberg Lima Gonçalves,John Guaschi Journal of Group Theory, 2010, 13 (2), pp.277-294. ⟨10.1515/JGT.2009.040⟩ Article dans une revue hal-00184740v1
The Borsuk-Ulam theorem for maps into a surface Daciberg Lima Gonçalves,John Guaschi Topology and its Applications, 2010, 157 (10-11), pp.1742-1759. ⟨10.1016/j.topol.2010.02.024⟩ Article dans une revue hal-00463156v1
The lower central and derived series of the braid groups of the sphere and the punctured sphere. Daciberg Lima Gonçalves,John Guaschi Transactions of the American Mathematical Society, 2009, 361 (7), pp.3375-3399. ⟨10.1090/S0002-9947-09-04766-7⟩ Article dans une revue hal-00021959v1
The classification and the conjugacy classes of the finite subgroups of the sphere braid groups Daciberg Lima Gonçalves,John Guaschi Algebraic and Geometric Topology, 2008, 8 (2), pp.757-785. ⟨10.2140/agt.2008.8.757⟩ Article dans une revue hal-00191422v1
Lower central series for surface braid groups Paolo Bellingeri,Sylvain Gervais,John Guaschi Journal of Algebra, 2008, 319 (4), pp.1409-1427 Article dans une revue hal-00015415v2
The braid groups of the projective plane and the Fadell-Neuwirth short exact sequence Daciberg Lima Gonçalves,John Guaschi Geometriae Dedicata, 2007, 130, pp.93-107. ⟨10.1007/s10711-007-9207-z⟩ Article dans une revue hal-00160464v1
The quaternion group as a subgroup of the sphere braid groups Daciberg Lima Gonçalves,John Guaschi Bulletin of the London Mathematical Society, 2007, 39 (2), pp.232-234. ⟨10.1112/blms/bdl041⟩ Article dans une revue hal-00020804v1
Patterns and minimal dynamics for graph maps Lluis Alsédà,François Gautero,John Guaschi,Jérôme Los,Francesc Mañosaset al. Proceedings of the London Mathematical Society, 2005, 91 (3), pp.414-442 Article dans une revue hal-00808807v1

Ouvrages (2)

The lower algebraic $K$-theory of virtually cyclic subgroups of the braid groups of the sphere and of $\mathbb{Z}[B_4(\mathbb{S}^2)]$ John Guaschi,Daniel Juan-Pineda,Silvia Millán-López Springer International Publishing, 2018, SpringerBriefs in Mathematics, 978-3-319-99488-8. ⟨10.1007/978-3-319-99489-5⟩ Ouvrages hal-00734244v2
The classification of the virtually cyclic subgroups of the sphere braid groups Daciberg Lima Gonçalves,John Guaschi Springer. Springer, pp.112, 2013, SpingerBriefs in Mathematics, 978-3-319-00256-9. ⟨10.1007/978-3-319-00257-6⟩ Ouvrages hal-00636830v1

Chapitre d'ouvrage (1)

A survey of surface braid groups and the lower algebraic K-theory of their group rings John Guaschi,Daniel Juan-Pineda L. Ji, A. Papadopoulos and S.-T. Yau. Handbook of Group Actions, Volume II, 32, International Press of Boston Inc., pp.23-76, 2015, Advanced Lectures in Mathematics, 9781571463012 Chapitre d'ouvrage hal-00794539v1

Pré-publication, Document de travail (4)

Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings John Guaschi,Daniel Juan-Pineda 2025 Pré-publication, Document de travail hal-05233359v1
The splitting of generalisations of the Fadell-Neuwirth short exact sequence Daciberg Lima Gonçalves,John Guaschi,Carolina de Miranda E Pereiro 2025 Pré-publication, Document de travail hal-05233425v1
The homotopy fibre of the inclusion $F_n(M) \longrightarrow \prod_{1}^{n} M$ for $M$ either $\mathbb{S}^2$ or $\mathbb{R}P^2$ and orbit configuration spaces Daciberg Lima Gonçalves,John Guaschi 2017 Pré-publication, Document de travail hal-01627001v1
Exact sequences, lower central series and representations of surface braid groups Paolo Bellingeri,Eddy Godelle,John Guaschi 2011 Pré-publication, Document de travail hal-00603304v1