Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard Polyfold and Fredholm theory. (English) Zbl 1479.58002 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 72. Cham: Springer (ISBN 978-3-030-78006-7/hbk; 978-3-030-78007-4/ebook). xxii, 1001 p. (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58-02 58B15 58D27 58C15 58B10 PDFBibTeX XMLCite \textit{H. Hofer} et al., Polyfold and Fredholm theory. Cham: Springer (2021; Zbl 1479.58002) Full Text: DOI arXiv
Hofer, H.; Wysocki, K.; Zehnder, E. Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. (English) Zbl 1434.53095 Memoirs of the American Mathematical Society 1179. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2203-5/pbk; 978-1-4704-4060-2/ebook). v, 218 p. (2017). Reviewer: David E. Hurtubise (Altoona) MSC: 53D45 58B99 58C99 57R17 PDFBibTeX XMLCite \textit{H. Hofer} et al., Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1434.53095) Full Text: DOI arXiv
Hofer, Helmut H.; Wysocki, Kris; Zehnder, Eduard Polyfold and Fredholm Theory I: Basic Theory in M-Polyfolds. arXiv:1407.3185 Preprint, arXiv:1407.3185 [math.FA] (2014). MSC: 46-XX 53-XX 58-XX BibTeX Cite \textit{H. H. Hofer} et al., ``Polyfold and Fredholm Theory I: Basic Theory in M-Polyfolds'', Preprint, arXiv:1407.3185 [math.FA] (2014) Full Text: arXiv OA License
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard Sc-smoothness, retractions and new models for smooth spaces. (English) Zbl 1211.53099 Discrete Contin. Dyn. Syst. 28, No. 2, 665-788 (2010). Reviewer: Eduardo Chiumiento (La Plata) MSC: 53D40 53D45 PDFBibTeX XMLCite \textit{H. Hofer} et al., Discrete Contin. Dyn. Syst. 28, No. 2, 665--788 (2010; Zbl 1211.53099) Full Text: DOI arXiv
Hofer, H.; Wysocki, K.; Zehnder, E. Integration theory on the zero sets of polyfold Fredholm sections. (English) Zbl 1210.58004 Math. Ann. 346, No. 1, 139-198 (2010). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58B15 53D42 PDFBibTeX XMLCite \textit{H. Hofer} et al., Math. Ann. 346, No. 1, 139--198 (2010; Zbl 1210.58004) Full Text: DOI
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard A general Fredholm theory. II: Implicit function theorems. (English) Zbl 1217.58005 Geom. Funct. Anal. 19, No. 1, 206-293 (2009). Reviewer: Weiping Li (Stillwater) MSC: 58B15 53D45 53D40 58C15 47J07 53D42 PDFBibTeX XMLCite \textit{H. Hofer} et al., Geom. Funct. Anal. 19, No. 1, 206--293 (2009; Zbl 1217.58005) Full Text: DOI arXiv
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard A general Fredholm theory. III: Fredholm functors and polyfolds. (English) Zbl 1185.58002 Geom. Topol. 13, No. 4, 2279-2387 (2009). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 58B15 46T99 57R17 53D40 PDFBibTeX XMLCite \textit{H. Hofer} et al., Geom. Topol. 13, No. 4, 2279--2387 (2009; Zbl 1185.58002) Full Text: DOI arXiv
Hofer, H.; Wysocki, K.; Zehnder, E. A general Fredholm theory. I: A splicing-based differential geometry. (English) Zbl 1149.53053 J. Eur. Math. Soc. (JEMS) 9, No. 4, 841-876 (2007). Reviewer: Weiping Li (Stillwater) MSC: 53D40 58B15 53D45 47A53 PDFBibTeX XMLCite \textit{H. Hofer} et al., J. Eur. Math. Soc. (JEMS) 9, No. 4, 841--876 (2007; Zbl 1149.53053) Full Text: DOI arXiv Link
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard Integration Theory for Zero Sets of Polyfold Fredholm Sections. arXiv:0711.0781 Preprint, arXiv:0711.0781 [math.FA] (2007). MSC: 46T99 58B99 53C99 BibTeX Cite \textit{H. Hofer} et al., ``Integration Theory for Zero Sets of Polyfold Fredholm Sections'', Preprint, arXiv:0711.0781 [math.FA] (2007) Full Text: arXiv
Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E. Compactness results in symplectic field theory. (English) Zbl 1131.53312 Geom. Topol. 7, 799-888 (2003). MSC: 53D45 53D35 53D40 57R17 PDFBibTeX XMLCite \textit{F. Bourgeois} et al., Geom. Topol. 7, 799--888 (2003; Zbl 1131.53312) Full Text: DOI arXiv EuDML EMIS
Hofer, H.; Wysocki, K.; Zehnder, E. Finite energy foliations of tight three-spheres and Hamiltonian dynamics. (English) Zbl 1215.53076 Ann. Math. (2) 157, No. 1, 125-255 (2003). MSC: 53D35 37C27 37C85 37J05 57R30 PDFBibTeX XMLCite \textit{H. Hofer} et al., Ann. Math. (2) 157, No. 1, 125--255 (2003; Zbl 1215.53076) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. Pseudoholomorphic curves and dynamics in three dimensions. (English) Zbl 1052.53063 Hasselblatt, B. (ed.) et al., Handbook of dynamical systems. Volume 1A. Amsterdam: North-Holland (ISBN 0-444-82669-6/hbk). 1129-1188 (2002). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D35 37C27 37Exx 37J45 37J55 32Q65 PDFBibTeX XMLCite \textit{H. Hofer} et al., in: Handbook of dynamical systems. Volume 1A. Amsterdam: North-Holland. 1129--1188 (2002; Zbl 1052.53063)
Hofer, H.; Wysocki, K.; Zehnder, E. Finite energy cylinders of small area. (English) Zbl 1041.57009 Ergodic Theory Dyn. Syst. 22, No. 5, 1451-1486 (2002). Reviewer: Manuel C. Guerra (Lisboa) MSC: 57R17 53D45 37C27 37J05 PDFBibTeX XMLCite \textit{H. Hofer} et al., Ergodic Theory Dyn. Syst. 22, No. 5, 1451--1486 (2002; Zbl 1041.57009) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. A characterization of the tight 3-sphere. II. (English) Zbl 0954.57004 Commun. Pure Appl. Math. 52, No. 9, 1139-1177 (1999). Reviewer: Gábor Tóth (Camden) MSC: 57M50 57N12 PDFBibTeX XMLCite \textit{H. Hofer} et al., Commun. Pure Appl. Math. 52, No. 9, 1139--1177 (1999; Zbl 0954.57004) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. Properties of pseudoholomorphic curves in symplectizations. III: Fredholm theory. (English) Zbl 0924.58003 Escher, Joachim (ed.) et al., Topics in nonlinear analysis. The Herbert Amann anniversary volume. Basel: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 35, 381-475 (1999). Reviewer: Chandra Shekhar Sharma (London) MSC: 58C10 57R57 37J10 32Q65 53D35 53D10 PDFBibTeX XMLCite \textit{H. Hofer} et al., Prog. Nonlinear Differ. Equ. Appl. 35, 381--475 (1999; Zbl 0924.58003)
Hofer, H.; Wysocki, K.; Zehnder, E. The dynamics on three-dimensional strictly convex energy surfaces. (English) Zbl 0944.37031 Ann. Math. (2) 148, No. 1, 197-289 (1998). Reviewer: Willy Sarlet (Gent) MSC: 37K05 53D10 34C25 37C27 37J55 PDFBibTeX XMLCite \textit{H. Hofer} et al., Ann. Math. (2) 148, No. 1, 197--289 (1998; Zbl 0944.37031) Full Text: DOI Link
Hofer, H.; Wysocki, K.; Zehnder, E. Correction to “A characterisation of the tight three-sphere”. (English) Zbl 0903.57009 Duke Math. J. 89, No. 3, 603-617 (1997). Reviewer: Gábor Tóth (Camden) MSC: 57N12 57M50 PDFBibTeX XMLCite \textit{H. Hofer} et al., Duke Math. J. 89, No. 3, 603--617 (1997; Zbl 0903.57009) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. Properties of pseudoholomorphic curves in symplectisation. IV: Asymptotics with degeneracies. (English) Zbl 0868.53043 Thomas, C. B. (ed.), Contact and symplectic geometry. Cambridge: Cambridge University Press. Publ. Newton Inst. 8, 78-117 (1996). Reviewer: C.Udrişte (Bucureşti) MSC: 53D35 37J10 37D10 32Q65 PDFBibTeX XMLCite \textit{H. Hofer} et al., Publ. Newton Inst. 8, 78--117 (1996; Zbl 0868.53043)
Hofer, H.; Wysocki, K.; Zehnder, E. Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. (English) Zbl 0861.58018 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 3, 337-379 (1996); correction ibid. 15, No. 4, 535-538 (1998). Reviewer: C.S.Sharma (London) MSC: 37J10 53D35 53D10 32Q65 58J05 57R57 PDFBibTeX XMLCite \textit{H. Hofer} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 3, 337--379 (1996; Zbl 0861.58018) Full Text: DOI Numdam Numdam EuDML
Hofer, H.; Wysocki, K.; Zehnder, E. Unknotted periodic orbits for Reeb flows on the three-sphere. (English) Zbl 0898.58018 Topol. Methods Nonlinear Anal. 7, No. 2, 219-244 (1996). Reviewer: W.Sarlet (Gent) MSC: 37J99 58E99 34C25 37G99 PDFBibTeX XMLCite \textit{H. Hofer} et al., Topol. Methods Nonlinear Anal. 7, No. 2, 219--244 (1996; Zbl 0898.58018) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. A characterisation of the tight three-sphere. (English) Zbl 0861.57026 Duke Math. J. 81, No. 1, 159-226 (1995); correction ibid. 89, No. 3, 603-617 (1997). Reviewer: G.Tóth (Camden) MSC: 57N12 57M50 PDFBibTeX XMLCite \textit{H. Hofer} et al., Duke Math. J. 81, No. 1, 159--226 (1995; Zbl 0861.57026) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. (English) Zbl 0845.57027 Geom. Funct. Anal. 5, No. 2, 270-328 (1995). Reviewer: H.Hofer (Zürich) MSC: 57R57 58C10 37J10 53D35 53D10 32Q65 37G99 58J05 PDFBibTeX XMLCite \textit{H. Hofer} et al., Geom. Funct. Anal. 5, No. 2, 270--328 (1995; Zbl 0845.57027) Full Text: DOI EuDML