Publications of Joa Weber

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            CDM 2025    DAC 2025

Publications

Books

J. Weber
Topological Methods in the Quest for Periodic Orbits
Extended version contracted by the EMS for their EMS Series of Lectures in Mathematics

J. Weber
Scale Calculus and M-Polyfolds - An Introduction
32o Colóquio Brasileiro de Matemática, CBM-32, IMPA (2019), iii+138 pages.
ISBN 978-85-244-0428-3
download book here or here

J. Weber
Topological Methods in the Quest for Periodic Orbits
31o Colóquio Brasileiro de Matemática, CBM-31, IMPA (2017), vii+248 pages.
ISBN 978-85-244-0439-9
download book here or here

Translations

W. Weber
Electrodynamic Measurements, especially on the Energy of Interaction
Translator from German to English: J. Weber
article (2020), 64 pages, included as Chapter 13 in this book (2021).

D.A. Salamon
Análise em dimensões superiores
Tradutor do alemão ao português: J. Weber
livro (2019), ix+376 páginas.

Articles

U. Frauenfelder and J. Weber
Merry-go-round and time-dependent symplectic forms
Preprint, 18 pages
viXra:2601.0019 science, freedom, dignity

U. Frauenfelder and J. Weber
The linearized Floer equation in a chart
SIGMA 22 (2026), 032, 38 pages
Special Issue on Geometry and Dynamics in memory of Will Merry
doi: 10.3842/SIGMA.2026.032 open access viXra:2510.0110 science, freedom, dignity

U. Frauenfelder and J. Weber
Loop space blow-up and scale calculus
Arch. Math. 126 no.3 (2026), 335-342.
doi: 10.1007/s00013-025-02211-0 open access SharedIt viXra:2509.0054 science, freedom, dignity

U. Frauenfelder and J. Weber
Hilbert manifold structures on path spaces
Preprint, 81 pages
viXra:2507.0031 science, freedom, dignity

U. Frauenfelder and J. Weber
Floerfolds and Floer functions
Preprint v1, 19 pages
viXra:2502.0011 science, freedom, dignity

U. Frauenfelder and J. Weber 10
On the spectral flow theorem of Robbin-Salamon for finite intervals
XYZ 25/10 best report ever 🤗
Preprint, 79 pages
viXra:2412.0122 science, freedom, dignity

U. Frauenfelder and J. Weber
Growth of eigenvalues of Floer Hessians
Preprint, 50 pages 24/08/01
viXra:2411.0060 science, freedom, dignity

U. Frauenfelder and J. Weber
Local gluing
Bull. Braz. Math. Soc. (N.S.) 56:44 no.3 (2025), 48pp.
doi: 10.1007/s00574-025-00464-5 open access SharedIt viXra:2401.0075 science, freedom, dignity

U. Frauenfelder and J. Weber
Lagrange multipliers and adiabatic limits I
J. Symplectic Geom. 23 no.5 (2025), 1109-1177.
doi: 10.4310/JSG.251228022011 viXra:2210.0061 science, freedom, dignity

U. Frauenfelder and J. Weber
Lagrange multipliers and adiabatic limits II
J. Symplectic Geom. 23 no.5 (2025), 1179-1234.
doi: 10.4310/JSG.251228022324 viXra:2210.0057 science, freedom, dignity

U. Frauenfelder and J. Weber
A mathematical description of the Weber nucleus as a classical and quantum mechanical system
Anal. Math. Phys. 14 (2024), 31, 1-26.
doi: 10.1007/s13324-024-00891-5 open access SharedIt viXra:2207.0070 science, freedom, dignity. W.E. Weber (1804-1891 (english at bottom)
arXiv 🤐 deleted submission overnight: allegedly beeing not even "refereeable for publication in a conventional journal". Not refereeable - professional engineering.

U. Frauenfelder and J. Weber
The regularized free fall II - Homology computation via heat flow
Topol. Methods Nonlinear Anal. 60 no.1 (2022), 343-361.
doi: 10.12775/TMNA.2021.060 '??' cf. proofs links Ok arXiv:2107.12175

U. Frauenfelder and J. Weber
The regularized free fall I - Index computations
Russian Journal of Mathematical Physics 28 no.4 (2021), 464-487. RJMP
doi: 10.1134/S1061920821040063 SharedIt arXiv:2102.01688

U. Frauenfelder and J. Weber
The shift map on Floer trajectory spaces
J. Symplectic Geom. 19 no.2 (2021), 351-397.
doi: 10.4310/JSG.2021.v19.n2.a2 arXiv:1803.03826

U. Frauenfelder and J. Weber
The fine structure of Weber's hydrogen atom - Bohr-Sommerfeld approach
Zeitschrift für angewandte Mathematik und Physik 70 no.4 (2019), 105-116.
doi: 10.1007/s00033-019-1149-4 SharedIt arXiv:1902.09612 🤐 W.E. Weber (1804-1891 (english at bottom)

J. Weber
Conley pairs in geometry - Lusternik-Schnirelmann theory and more
Expo. Math. 37 no.1 (2019), 25-47.
doi: 10.1016/j.exmath.2017.10.003 arXiv:1709.05010

J. Weber
Stable foliations and semi-flow Morse homology
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XVII no.3 (2017), 853-909.
doi: 10.2422/2036-2145.201510_017 arXiv:1408.3842

J. Weber
Classical Morse theory revisited I - Backward λ-Lemma and homotopy type
Topol. Methods Nonlinear Anal. 47 no.2 (2016), 641-646.
doi: 10.12775/⁠TMNA.2016.020 arXiv:1410.0995

J. Weber
Contraction method and Lambda-Lemma
São Paulo J. Math. Sci. 9 no.2 (2015), 263-298.
doi: 10.1007/s40863-015-0014-4 arXiv:1507.01028

J. Weber
The Backward λ-Lemma and Morse Filtrations
Progress in Nonlinear Differential Equations and Their Applications 85 (2014), 457-466.
doi: 10.1007/978-3-319-04214-5_27 book arXiv:1211.2180

J. Weber
A backward λ-Lemma for the forward heat flow
Math. Ann. 359 no.3 (2014), 929-967.
doi: 10.1007/s00208-014-1026-6 arXiv:1210.3897

J. Weber
Morse homology for the heat flow
Math. Z. 275 no.1 (2013), 1-54.
doi: 10.1007/s00209-012-1121-x Preprint, IME USP, Nov. 2011 cf. arXiv:1003.4350

J. Weber
Morse homology for the heat flow -- Linear theory
Math. Nachr. 286 no.1 (2013), 88-104.
doi: 10.1002/mana.201100319 Preprint, IME USP, Nov. 2011

P. Salomão and J. Weber
An almost existence theorem for non-contractible periodic orbits in cotangent bundles
São Paulo J. Math. Sci. 6 no.2 (2012), 385-94.
doi: 10.11606/issn.2316-9028.v6i2p385-394 Article arXiv:1302.7282

J. Weber
The heat flow and the homology of the loop space
Habilitationsschrift, HU Berlin, 08 February 2010, 1-139.
Habilitation monograph

J. Weber
A product estimate, the parabolic Weyl lemma and applications
Preprint, HU Berlin, Sep. 2009 arXiv:0910.2739

J. Weber
Noncontractible periodic orbits in cotangent bundles and Floer homology
Duke Math. J. 133 no.3 (2006), 527-568.
doi: 10.1215/S0012-7094-06-13334-3 Preprint, ETHZ, Apr. 2004, revised Oct. 2005 math.SG/0410609

D. Salamon and J. Weber
Floer homology and the heat flow
GAFA 16 no.5 (2006), 1050-1138.
doi: 10.1007/s00039-006-0577-4 Preprint, ETHZ, Apr. 2003, revised Oct. 2005 math.SG/0304383

J. Weber
The Morse-Witten complex via dynamical systems
Expo. Math. 24 (2006), 127-159.
doi: 10.1016/j.exmath.2005.09.001 Preprint, Univ. München, Nov. 2004, revised Oct. 2005 math.GT/0411465

J. Weber
Three approaches towards Floer homology of cotangent bundles
J. Symplectic Geom. 3 no.4 (2005), 671-701.
doi: 10.4310/JSG.2005.v3.n4.a7 Preprint, Univ. München, Feb. 2005, revised Jan. 2006 math.SG/0602230

J. Weber
Noncontractible periodic orbits in cotangent bundles
Oberwolfach Rep. 2 no.3 (2005), 1787-1789.
doi: EMS published report

J. Weber
Perturbed closed geodesics are periodic orbits: Index and Transversality
Math. Z. 241 no.1 (2002), 45-81
doi:10.1007/s002090100406 Preprint, ETHZ, May 2001 math.SG/0105153

J. Weber
J-holomorphic curves in cotangent bundles and the heat flow
Dissertation (PhD thesis), TU Berlin, 1999, 1-215.

J. Weber
Morse-Ungleichungen, Supersymmetrie, und quasiklassischer Limes
Diplomarbeit (Master's thesis), Fachbereich Physik, TU Berlin, 1995, 1-105.

J. Weber
Der Morse-Witten Komplex
Diplomarbeit (Master's thesis), Fachbereich Mathematik, TU Berlin, 1993, 1-111.
viXra:2508.0167 science, freedom, dignity

Lecture Notes

In preparation

Publications

Books

Translations

Articles