Cristofaro-Gardiner, Daniel; Humilière, Vincent; Seyfaddini, Sobhan Proof of the simplicity conjecture. (English) Zbl 07782631 Ann. Math. (2) 199, No. 1, 181-257 (2024). MSC: 53D40 PDFBibTeX XMLCite \textit{D. Cristofaro-Gardiner} et al., Ann. Math. (2) 199, No. 1, 181--257 (2024; Zbl 07782631) Full Text: DOI arXiv
Buhovsky, Lev On two remarkable groups of area-preserving homeomorphisms. (English) Zbl 07803248 J. Math. Phys. Anal. Geom. 19, No. 2, 339-373 (2023). MSC: 53D05 PDFBibTeX XMLCite \textit{L. Buhovsky}, J. Math. Phys. Anal. Geom. 19, No. 2, 339--373 (2023; Zbl 07803248) Full Text: DOI arXiv
Kawasaki, Morimichi; Kimura, Mitsuaki; Matsushita, Takahiro; Mimura, Masato Commuting symplectomorphisms on a surface and the flux homomorphism. (English) Zbl 07746810 Geom. Funct. Anal. 33, No. 5, 1322-1353 (2023). MSC: 53D35 20F12 20J05 37E35 70H15 20F36 37A15 57R17 53D22 PDFBibTeX XMLCite \textit{M. Kawasaki} et al., Geom. Funct. Anal. 33, No. 5, 1322--1353 (2023; Zbl 07746810) Full Text: DOI arXiv
Polterovich, Leonid; Shelukhin, Egor Lagrangian configurations and Hamiltonian maps. (English) Zbl 07744976 Compos. Math. 159, No. 12, 2483-2520 (2023). Reviewer: Stéphane Tchuiaga (Buea) MSC: 53D40 53D37 53D12 37K65 PDFBibTeX XMLCite \textit{L. Polterovich} and \textit{E. Shelukhin}, Compos. Math. 159, No. 12, 2483--2520 (2023; Zbl 07744976) Full Text: DOI arXiv OA License
Joksimović, Dušan \(C^0\)-rigidity of Poisson diffeomorphisms. (English) Zbl 1526.53079 Lett. Math. Phys. 113, No. 3, Paper No. 69, 10 p. (2023). Reviewer: Luen-Chau Li (University Park) MSC: 53D17 57S05 PDFBibTeX XMLCite \textit{D. Joksimović}, Lett. Math. Phys. 113, No. 3, Paper No. 69, 10 p. (2023; Zbl 1526.53079) Full Text: DOI arXiv
Kimura, Mitsuaki Norm-controlled cohomology of transformation groups. (English) Zbl 07682701 Int. J. Math. 34, No. 5, Article ID 2350022, 15 p. (2023). MSC: 57S05 20J06 PDFBibTeX XMLCite \textit{M. Kimura}, Int. J. Math. 34, No. 5, Article ID 2350022, 15 p. (2023; Zbl 07682701) Full Text: DOI arXiv
Arnaud, Marie-Claude; Zavidovique, Maxime Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2. (English) Zbl 1526.37052 Ergodic Theory Dyn. Syst. 43, No. 3, 794-826 (2023). Reviewer: Manuel de León (Madrid) MSC: 37E40 37J11 37J70 37J39 37C86 37E10 37J30 53D05 PDFBibTeX XMLCite \textit{M.-C. Arnaud} and \textit{M. Zavidovique}, Ergodic Theory Dyn. Syst. 43, No. 3, 794--826 (2023; Zbl 1526.37052) Full Text: DOI arXiv
Bessa, Mário Lyapunov exponents and entropy for divergence-free Lipschitz vector fields. (English) Zbl 1525.37029 Eur. J. Math. 9, No. 2, Paper No. 20, 33 p. (2023). Reviewer: Martin Sambarino (Montevideo) MSC: 37D30 37D25 28D20 26A16 26A21 54E52 PDFBibTeX XMLCite \textit{M. Bessa}, Eur. J. Math. 9, No. 2, Paper No. 20, 33 p. (2023; Zbl 1525.37029) Full Text: DOI
Cristofaro-Gardiner, Daniel; Humilière, Vincent; Mak, Cheuk Yu; Seyfaddini, Sobhan; Smith, Ivan Quantitative Heegaard Floer cohomology and the Calabi invariant. (English) Zbl 1508.53090 Forum Math. Pi 10, Paper No. e27, 59 p. (2022). MSC: 53D40 57R58 37E30 37K65 PDFBibTeX XMLCite \textit{D. Cristofaro-Gardiner} et al., Forum Math. Pi 10, Paper No. e27, 59 p. (2022; Zbl 1508.53090) Full Text: DOI arXiv
Tchuiaga, Stephane; Houenou, Franck; Madengko, Carole; Nguedakumana, Ancille \(C^0\)-transport of flux geometry. (English) Zbl 1506.53085 Topology Appl. 322, Article ID 108301, 18 p. (2022). MSC: 53D05 57S05 58D05 PDFBibTeX XMLCite \textit{S. Tchuiaga} et al., Topology Appl. 322, Article ID 108301, 18 p. (2022; Zbl 1506.53085) Full Text: DOI
Kawasaki, Morimichi; Kimura, Mitsuaki \(\hat{G}\)-invariant quasimorphisms and symplectic geometry of surfaces. (English) Zbl 1509.53082 Isr. J. Math. 247, No. 2, 845-871 (2022). MSC: 53D05 PDFBibTeX XMLCite \textit{M. Kawasaki} and \textit{M. Kimura}, Isr. J. Math. 247, No. 2, 845--871 (2022; Zbl 1509.53082) Full Text: DOI arXiv
Buhovsky, Lev; Humilière, Vincent; Seyfaddini, Sobhan An Arnold-type principle for non-smooth objects. (English) Zbl 1494.57055 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 24, 22 p. (2022). Reviewer: Guang-Cun Lu (Beijing) MSC: 57R58 53D12 53D22 PDFBibTeX XMLCite \textit{L. Buhovsky} et al., J. Fixed Point Theory Appl. 24, No. 2, Paper No. 24, 22 p. (2022; Zbl 1494.57055) Full Text: DOI arXiv
Arnaud, Marie-Claude (ed.); Hofer, Helmut (ed.); Hutchings, Michael (ed.); Kaloshin, Vadim (ed.) Dynamical systems. Abstracts from the workshop held July 11–17, 2021 (hybrid meeting). (Dynamische Systeme.) (English) Zbl 1506.00038 Oberwolfach Rep. 18, No. 3, 1735-1803 (2021). MSC: 00B05 00B25 37-06 53-06 53Dxx PDFBibTeX XMLCite \textit{M.-C. Arnaud} (ed.) et al., Oberwolfach Rep. 18, No. 3, 1735--1803 (2021; Zbl 1506.00038) Full Text: DOI
Le Roux, Frédéric; Seyfaddini, Sobhan; Viterbo, Claude Barcodes and area-preserving homeomorphisms. (English) Zbl 1494.37040 Geom. Topol. 25, No. 6, 2713-2825 (2021). Reviewer: Mikhail Malakhal’tsev (Bogotá) MSC: 37J39 37E30 53D05 53D40 PDFBibTeX XMLCite \textit{F. Le Roux} et al., Geom. Topol. 25, No. 6, 2713--2825 (2021; Zbl 1494.37040) Full Text: DOI arXiv
Buhovsky, Lev; Humilière, Vincent; Seyfaddini, Sobhan The action spectrum and \(C^0\) symplectic topology. (English) Zbl 1471.53067 Math. Ann. 380, No. 1-2, 293-316 (2021). MSC: 53D35 57R17 PDFBibTeX XMLCite \textit{L. Buhovsky} et al., Math. Ann. 380, No. 1--2, 293--316 (2021; Zbl 1471.53067) Full Text: DOI arXiv
Katić, Jelena; Milinković, Darko; Nikolić, Jovana A brief survey of the spectral numbers in Floer homology. (English) Zbl 1474.53320 Theor. Appl. Mech. (Belgrade) 47, No. 2, 205-220 (2020). MSC: 53D40 57R58 53D05 PDFBibTeX XMLCite \textit{J. Katić} et al., Theor. Appl. Mech. (Belgrade) 47, No. 2, 205--220 (2020; Zbl 1474.53320) Full Text: DOI
Wang, Jian Some results of Hamiltonian homeomorphisms on closed aspherical surfaces. (English) Zbl 1453.37037 Adv. Math. 373, Article ID 107307, 46 p. (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37E30 37E45 37J39 37J51 53D40 58D05 PDFBibTeX XMLCite \textit{J. Wang}, Adv. Math. 373, Article ID 107307, 46 p. (2020; Zbl 1453.37037) Full Text: DOI arXiv
Tchuiaga, Stéphane \(C^0\)-symplectic geometry under displacements. (English) Zbl 1499.53334 J. Dyn. Syst. Geom. Theor. 17, No. 1, 109-129 (2019). MSC: 53D35 22E65 51H20 57R52 57S05 PDFBibTeX XMLCite \textit{S. Tchuiaga}, J. Dyn. Syst. Geom. Theor. 17, No. 1, 109--129 (2019; Zbl 1499.53334) Full Text: DOI
Müller, Stefan \(C^0\)-characterization of symplectic and contact embeddings and Lagrangian rigidity. (English) Zbl 1422.53066 Int. J. Math. 30, No. 9, Article ID 1950035, 48 p. (2019). MSC: 53D05 53D10 53D12 53D35 57R17 PDFBibTeX XMLCite \textit{S. Müller}, Int. J. Math. 30, No. 9, Article ID 1950035, 48 p. (2019; Zbl 1422.53066) Full Text: DOI arXiv
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. (English) Zbl 1455.53001 Memoirs of the American Mathematical Society 1254. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3625-4/pbk; 978-1-4704-5325-1/ebook). x, 266 p. (2019). Reviewer: Matthew Stoffregen (Cambridge) MSC: 53-02 53D40 53D12 55T99 57R57 53D45 53D20 14N35 57R58 PDFBibTeX XMLCite \textit{K. Fukaya} et al., Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1455.53001) Full Text: DOI arXiv
Amorim, Lino; Oh, Yong-Geun; Oliveira dos Santos, Joana Exact Lagrangian submanifolds, Lagrangian spectral invariants and Aubry-Mather theory. (English) Zbl 1404.53100 Math. Proc. Camb. Philos. Soc. 165, No. 3, 411-434 (2018). Reviewer: Luc Vrancken (Valenciennes) MSC: 53D12 PDFBibTeX XMLCite \textit{L. Amorim} et al., Math. Proc. Camb. Philos. Soc. 165, No. 3, 411--434 (2018; Zbl 1404.53100) Full Text: DOI arXiv
Tchuiaga, Stéphane On symplectic dynamics. (English) Zbl 1402.53065 Differ. Geom. Appl. 61, 170-196 (2018). Reviewer: Jin Hong Kim (Daejeon) MSC: 53D35 53D05 57R52 53C21 PDFBibTeX XMLCite \textit{S. Tchuiaga}, Differ. Geom. Appl. 61, 170--196 (2018; Zbl 1402.53065) Full Text: DOI arXiv
Buhovsky, Lev; Humilière, Vincent; Seyfaddini, Sobhan A \(C^0\) counterexample to the Arnold conjecture. (English) Zbl 1395.37037 Invent. Math. 213, No. 2, 759-809 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 37J05 53D05 53D22 PDFBibTeX XMLCite \textit{L. Buhovsky} et al., Invent. Math. 213, No. 2, 759--809 (2018; Zbl 1395.37037) Full Text: DOI arXiv
Tchuiaga, S.; Koivogui, M.; Balibuno, F.; Mbazumutima, V. On topological symplectic dynamical systems. (English) Zbl 1441.53067 Cubo 19, No. 2, 49-71 (2017). MSC: 53D05 53D35 57R52 53C21 37M15 37J39 PDFBibTeX XMLCite \textit{S. Tchuiaga} et al., Cubo 19, No. 2, 49--71 (2017; Zbl 1441.53067) Full Text: DOI
Usher, Michael Graphicality, \(C^0\) convergence, and the Calabi homomorphism. (English) Zbl 1418.53087 Bull. Korean Math. Soc. 54, No. 6, 2043-2051 (2017). MSC: 53D22 53D05 PDFBibTeX XMLCite \textit{M. Usher}, Bull. Korean Math. Soc. 54, No. 6, 2043--2051 (2017; Zbl 1418.53087) Full Text: DOI arXiv
Banyaga, Augustin; Spaeth, Peter Uniqueness of contact Hamiltonians of topological strictly contact isotopies. (English) Zbl 1454.53069 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VII. Proceedings of the 7th international conference on complex analysis and dynamical systems (CA&DS VII), Nahariya, Israel, May 10–15, 2015. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University. Contemp. Math. 699, 57-66 (2017). MSC: 53D35 53D50 PDFBibTeX XMLCite \textit{A. Banyaga} and \textit{P. Spaeth}, Contemp. Math. 699, 57--66 (2017; Zbl 1454.53069) Full Text: DOI arXiv
Buhovsky, Lev; Opshtein, Emmanuel Some quantitative results in \(\mathcal {C}^0\) symplectic geometry. (English) Zbl 1348.53074 Invent. Math. 205, No. 1, 1-56 (2016). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D05 53D35 53C40 PDFBibTeX XMLCite \textit{L. Buhovsky} and \textit{E. Opshtein}, Invent. Math. 205, No. 1, 1--56 (2016; Zbl 1348.53074) Full Text: DOI arXiv
Bessa, Mário; Torres, Maria Joana The \(C^0\) general density theorem for geodesic flows. (Le théorème de densité de Pugh \(C^0\) pour les flots géodésiques.) (English. French summary) Zbl 1352.37092 C. R., Math., Acad. Sci. Paris 353, No. 6, 545-549 (2015). MSC: 37D40 37C20 53D25 PDFBibTeX XMLCite \textit{M. Bessa} and \textit{M. J. Torres}, C. R., Math., Acad. Sci. Paris 353, No. 6, 545--549 (2015; Zbl 1352.37092) Full Text: DOI arXiv
Humilière, Vincent; Leclercq, Rémi; Seyfaddini, Sobhan Coisotropic rigidity and \(C^0\)-symplectic geometry. (English) Zbl 1327.53109 Duke Math. J. 164, No. 4, 767-799 (2015). Reviewer: Celso M. Doria (Florianapolis) MSC: 53D40 37J05 PDFBibTeX XMLCite \textit{V. Humilière} et al., Duke Math. J. 164, No. 4, 767--799 (2015; Zbl 1327.53109) Full Text: DOI arXiv Euclid
Buhovsky, Lev Towards the \(C^{0}\) flux conjecture. (English) Zbl 1306.57018 Algebr. Geom. Topol. 14, No. 6, 3493-3508 (2014). Reviewer: Andrew Bucki (Edmond) MSC: 57R17 PDFBibTeX XMLCite \textit{L. Buhovsky}, Algebr. Geom. Topol. 14, No. 6, 3493--3508 (2014; Zbl 1306.57018) Full Text: DOI arXiv
Müller, Stefan Uniform approximation of homeomorphisms by diffeomorphisms. (English) Zbl 1304.57039 Topology Appl. 178, 315-319 (2014). MSC: 57R12 57Q55 58C35 28D05 PDFBibTeX XMLCite \textit{S. Müller}, Topology Appl. 178, 315--319 (2014; Zbl 1304.57039) Full Text: DOI arXiv
Müller, Stefan; Spaeth, Peter Topological contact dynamics. II: Topological automorphisms, contact homeomorphisms, and non-smooth contact dynamical systems. (English) Zbl 1298.53076 Trans. Am. Math. Soc. 366, No. 9, 5009-5041 (2014). MSC: 53D10 57R17 37J55 22F50 57S05 PDFBibTeX XMLCite \textit{S. Müller} and \textit{P. Spaeth}, Trans. Am. Math. Soc. 366, No. 9, 5009--5041 (2014; Zbl 1298.53076) Full Text: DOI arXiv
Müller, Stefan; Spaeth, Peter Helicity of vector fields preserving a regular contact form and topologically conjugate smooth dynamical systems. (English) Zbl 1284.37018 Ergodic Theory Dyn. Syst. 33, No. 5, 1550-1583 (2013). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37C15 37D40 53D15 57Q45 PDFBibTeX XMLCite \textit{S. Müller} and \textit{P. Spaeth}, Ergodic Theory Dyn. Syst. 33, No. 5, 1550--1583 (2013; Zbl 1284.37018) Full Text: DOI arXiv
Banyaga, Augustin Introduction to the group of symplectomorphisms. (English) Zbl 1268.57012 Afr. Diaspora J. Math. 9, No. 2, 120-138 (2010). Reviewer: Jarek Kedra (Aberdeen) MSC: 57R17 57S05 53D05 53D35 57-02 53-02 PDFBibTeX XMLCite \textit{A. Banyaga}, Afr. Diaspora J. Math. 9, No. 2, 120--138 (2010; Zbl 1268.57012) Full Text: Euclid
Banyaga, Augustin On the group of symplectic homeomorphisms. (English. Abridged French version) Zbl 1146.57044 C. R., Math., Acad. Sci. Paris 346, No. 15-16, 867-872 (2008). MSC: 57S05 53D05 PDFBibTeX XMLCite \textit{A. Banyaga}, C. R., Math., Acad. Sci. Paris 346, No. 15--16, 867--872 (2008; Zbl 1146.57044) Full Text: DOI