Deligkas, Argyrios; Fearnley, John; Melissourgos, Themistoklis; Spirakis, Paul G. Computing exact solutions of consensus halving and the Borsuk-Ulam theorem. (English) Zbl 1477.68115 J. Comput. Syst. Sci. 117, 75-98 (2021). MSC: 68Q17 55M20 68Q15 91B32 PDFBibTeX XMLCite \textit{A. Deligkas} et al., J. Comput. Syst. Sci. 117, 75--98 (2021; Zbl 1477.68115) Full Text: DOI arXiv Link
Ayzenberg, Anton Space of isospectral periodic tridiagonal matrices. (English) Zbl 1477.57030 Algebr. Geom. Topol. 20, No. 6, 2957-2994 (2020). Reviewer: Michael J. Falk (Flagstaff) MSC: 57R91 57S12 34L40 52B70 52C22 55N91 05E45 13F55 14H70 15A18 37C81 37K10 51M20 55R80 55T10 PDFBibTeX XMLCite \textit{A. Ayzenberg}, Algebr. Geom. Topol. 20, No. 6, 2957--2994 (2020; Zbl 1477.57030) Full Text: DOI arXiv
Deligkas, Argyrios; Fearnley, John; Melissourgos, Themistoklis; Spirakis, Paul G. Computing exact solutions of consensus halving and the Borsuk-Ulam theorem. (English) Zbl 1498.68120 Baier, Christel (ed.) et al., 46th international colloquium on automata, languages, and programming, ICALP 2019, Patras, Greece, July 9–12, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 132, Article 138, 14 p. (2019). MSC: 68Q17 55M20 68Q15 91B32 PDFBibTeX XMLCite \textit{A. Deligkas} et al., LIPIcs -- Leibniz Int. Proc. Inform. 132, Article 138, 14 p. (2019; Zbl 1498.68120) Full Text: DOI
Abenda, Simonetta; Grinevich, Petr G. Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. (English) Zbl 1426.37052 Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 37K20 37K40 14H50 14H70 35C08 35Q51 14M15 51M35 55S45 37K10 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019; Zbl 1426.37052) Full Text: DOI arXiv
Yang, Greg A homological theory of functions: nonuniform Boolean complexity separation and VC dimension bound via algebraic topology, and a homological Farkas lemma. (English) Zbl 1462.68063 Karlin, Anna R. (ed.), 9th innovations in theoretical computer science conference, ITCS 2018, Cambridge, MA, USA, January 11–14, 2018. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 94, Article 56, 16 p. (2018). MSC: 68Q15 13F55 55N10 PDFBibTeX XMLCite \textit{G. Yang}, LIPIcs -- Leibniz Int. Proc. Inform. 94, Article 56, 16 p. (2018; Zbl 1462.68063) Full Text: DOI
Grekov, A.; Zotov, A. On \(R\)-matrix valued Lax pairs for Calogero-Moser models. (English) Zbl 1397.81461 J. Phys. A, Math. Theor. 51, No. 31, Article ID 315202, 26 p. (2018). MSC: 81V70 81R12 16T25 37K10 17B22 55R65 PDFBibTeX XMLCite \textit{A. Grekov} and \textit{A. Zotov}, J. Phys. A, Math. Theor. 51, No. 31, Article ID 315202, 26 p. (2018; Zbl 1397.81461) Full Text: DOI arXiv
Mendoza, Lida; Reyes, Enrique G. Massey products, \(A_\infty\)-algebras, differential equations, and Chekanov homology. (English) Zbl 1420.37080 J. Nonlinear Math. Phys. 22, No. 3, 342-360 (2015). MSC: 37K10 53D12 55S30 PDFBibTeX XMLCite \textit{L. Mendoza} and \textit{E. G. Reyes}, J. Nonlinear Math. Phys. 22, No. 3, 342--360 (2015; Zbl 1420.37080) Full Text: DOI
Guest, Martin A.; Lin, Chang-Shou Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa. (English) Zbl 1341.37039 J. Reine Angew. Math. 689, 1-32 (2014). MSC: 37K10 37K60 55N32 81T70 PDFBibTeX XMLCite \textit{M. A. Guest} and \textit{C.-S. Lin}, J. Reine Angew. Math. 689, 1--32 (2014; Zbl 1341.37039) Full Text: DOI arXiv
Baianu, I. C.; Brown, Ronald; Glazebrook, James F. A category theory and higher dimensional algebra approach to complex systems biology, meta-systems and ontological theory of levels: emergence of life, society, human consciousness and articial intelligence. (English) Zbl 1340.92017 Acta Univ. Apulensis, Math. Inform., Spec. Iss., 176-298 (2012). MSC: 92C42 92B05 68Q15 03G20 03G12 18A15 18A40 93B15 18B40 18G55 55U40 91E99 91D30 PDFBibTeX XMLCite \textit{I. C. Baianu} et al., Acta Univ. Apulensis, Math. Inform., 176--298 (2012; Zbl 1340.92017)
Juda, Mateusz; Mrozek, Marian \(\mathbb{Z}_2\)-homology of weak \((p-2)\)-faceless \(p\)-pseudomanifolds may be computed in \(O(n)\) time. (English) Zbl 1276.55003 Topol. Methods Nonlinear Anal. 40, No. 1, 137-159 (2012). MSC: 55-04 55N35 52B99 68Q15 68Q17 68W99 PDFBibTeX XMLCite \textit{M. Juda} and \textit{M. Mrozek}, Topol. Methods Nonlinear Anal. 40, No. 1, 137--159 (2012; Zbl 1276.55003)
Ferreira, L. A.; Klimas, P. Exact vortex solutions in a \(\mathbb{CP}^{N}\) Skyrme-Faddeev type model. (English) Zbl 1291.37097 J. High Energy Phys. 2010, No. 10, Paper No. 008, 19 p. (2010). MSC: 37K10 37K40 14D21 37K05 55P35 PDFBibTeX XMLCite \textit{L. A. Ferreira} and \textit{P. Klimas}, J. High Energy Phys. 2010, No. 10, Paper No. 008, 19 p. (2010; Zbl 1291.37097) Full Text: DOI arXiv
Mokhov, O. I. Symplectic and Poisson geometry on loop spaces of smooth manifolds and integrable equations (second edition). (English) Zbl 1230.53075 Rev. Math. Math. Phys. 13, No. 2, ii, 221 p. (2009). Reviewer: Gheorghe Zet (Iaşi) MSC: 53D17 37K05 37K10 37K25 53D05 55P35 58D05 53-02 PDFBibTeX XMLCite \textit{O. I. Mokhov}, Rev. Math. Math. Phys. 13, No. 2, ii, 221~p. (2009; Zbl 1230.53075)
Alvarez, Orlando; Ferreira, L. A.; Sánchez-Guillén, J. Integrable theories and loop spaces: fundamentals, applications and new developments. (English) Zbl 1170.37329 Int. J. Mod. Phys. A 24, No. 10, 1825-1888 (2009). MSC: 37K10 37-02 55P35 35Q51 53C29 70Sxx PDFBibTeX XMLCite \textit{O. Alvarez} et al., Int. J. Mod. Phys. A 24, No. 10, 1825--1888 (2009; Zbl 1170.37329) Full Text: DOI arXiv
Yu, Fajun Non-isospectral integrable couplings of Ablowitz-Ladik hierarchy with self-consistent sources. (English) Zbl 1227.37016 Phys. Lett., A 372, No. 46, 6909-6915 (2008). MSC: 37K10 35Q51 55P35 PDFBibTeX XMLCite \textit{F. Yu}, Phys. Lett., A 372, No. 46, 6909--6915 (2008; Zbl 1227.37016) Full Text: DOI
Kozlov, Dmitry N. Combinatorial algebraic topology. (English) Zbl 1157.57300 Eur. Math. Soc. Newsl. 68, 13-16 (2008). MSC: 57-02 57Q99 52C35 68Q15 55-02 PDFBibTeX XMLCite \textit{D. N. Kozlov}, Eur. Math. Soc. Newsl. 68, 13--16 (2008; Zbl 1157.57300)
Bürgisser, Peter; Cucker, Felipe Counting complexity classes for numeric computations. I: Semilinear sets. (English) Zbl 1069.68049 SIAM J. Comput. 33, No. 1, 227-260 (2003). MSC: 68Q15 68Q17 55-04 65Y20 PDFBibTeX XMLCite \textit{P. Bürgisser} and \textit{F. Cucker}, SIAM J. Comput. 33, No. 1, 227--260 (2003; Zbl 1069.68049) Full Text: DOI
Getzler, Ezra A Darboux theorem for Hamiltonian operators in the formal calculus of variations. (English) Zbl 1100.32008 Duke Math. J. 111, No. 3, 535-560 (2002). Reviewer: Michal Fečkan (Bratislava) MSC: 32G34 37K05 37K30 35Q53 55P62 PDFBibTeX XMLCite \textit{E. Getzler}, Duke Math. J. 111, No. 3, 535--560 (2002; Zbl 1100.32008) Full Text: DOI arXiv
Lechuga, Luis; Murillo, Aniceto The fundamental class of a rational space, the graph coloring problem and other classical decision problems. (English) Zbl 0987.55012 Bull. Belg. Math. Soc. - Simon Stevin 8, No. 3, 451-467 (2001). Reviewer: Jonathan Hodgson (Philadelphia) MSC: 55P62 68Q15 05C15 68Q25 PDFBibTeX XMLCite \textit{L. Lechuga} and \textit{A. Murillo}, Bull. Belg. Math. Soc. - Simon Stevin 8, No. 3, 451--467 (2001; Zbl 0987.55012)
Lechuga, Luis; Murillo, Aniceto Complexity in rational homotopy. (English) Zbl 0933.55014 Topology 39, No. 1, 89-94 (2000). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55P62 68Q15 PDFBibTeX XMLCite \textit{L. Lechuga} and \textit{A. Murillo}, Topology 39, No. 1, 89--94 (2000; Zbl 0933.55014) Full Text: DOI
Mallios, Anastasios On an axiomatic treatment of differential geometry via vector sheaves. Applications. (English) Zbl 0910.53013 Math. Jap. 48, No. 1, 93-180 (1998). Reviewer: E.Vassiliou (Athens) MSC: 53C05 18F15 57R20 58A03 58B20 53C07 58D27 37J35 37K10 55N30 18F20 14F05 PDFBibTeX XMLCite \textit{A. Mallios}, Math. Japon. 48, No. 1, 93--180 (1998; Zbl 0910.53013)
Bolsinov, Alexei V.; Fomenko, Anatolii T.; Zhang, Xingru The strong, semi-strong, and quasi-semi-strong bordism groups of integrable Hamiltonian systems of differential equations with two degrees of freedom. (English) Zbl 0909.58019 Russ. J. Math. Phys. 3, No. 4, 423-452 (1995). MSC: 37J35 37K10 55N22 57R75 PDFBibTeX XMLCite \textit{A. V. Bolsinov} et al., Russ. J. Math. Phys. 3, No. 4, 423--452 (1995; Zbl 0909.58019)
Fomenko, A. T. Bordism theory of integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of multi-dimensional integrable systems. (Russian) Zbl 0746.58037 Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 747-779 (1991). Reviewer: V.Oproiu (Iaşi) MSC: 37J35 37K10 55N22 PDFBibTeX XMLCite \textit{A. T. Fomenko}, Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 747--779 (1991; Zbl 0746.58037)
Fomenko, A. T. A bordism theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of higher-dimensional integrable systems. (English. Russian original) Zbl 0783.58035 Math. USSR, Izv. 39, No. 1, 731-759 (1992); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 747-779 (1991). MSC: 37J35 37K10 55N22 PDFBibTeX XMLCite \textit{A. T. Fomenko}, Math. USSR, Izv. 39, No. 1, 731--759 (1991; Zbl 0783.58035); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 4, 747--779 (1991) Full Text: DOI
McDaniel, Andrew; Smolinsky, Lawrence The topology of some spaces from Hamiltonian mechanics. (English) Zbl 0728.55008 Algebra and topology, Proc. 5th Math. Workshop, Taejon/Korea 1990, Proc. KIT Math. Workshop 5, 137-142 (1990). MSC: 55Q52 37J35 37K10 PDFBibTeX XML
Desolneux-Moulis, N. Dynamique des systèmes hamiltoniens complètement intégrables sur les variétés compactes. (Dynamics of completely integrable Hamiltonian systems on compact manifolds). (French) Zbl 0702.58033 Géométrie symplectique et mécanique, Colloq. Int. Sémin. Sud- Rhodan. Géom. V, La Grande Motte/Fr. 1988, Lect. Notes Math. 1416, 75-83 (1990). Reviewer: Hugo H.Torriani MSC: 37J35 37K10 55R55 57R30 53C12 37C85 53C70 PDFBibTeX XML
Boucetta, Mohamed; Molino, Pierre Géometrie globale des systèmes hamiltoniens complètement intégrables: Fibrations lagrangiennes singulières et coordonnées action-angle à singularités. (Global geometry of completely integrable Hamiltonian systems: Lagrangian singular fibrations and action-angle variables with singularities). (French) Zbl 0702.58032 C. R. Acad. Sci., Paris, Sér. I 308, No. 13, 421-424 (1989). Reviewer: Hugo H.Torriani MSC: 37J35 37K10 55R55 57R30 53C12 37C85 53C70 PDFBibTeX XMLCite \textit{M. Boucetta} and \textit{P. Molino}, C. R. Acad. Sci., Paris, Sér. I 308, No. 13, 421--424 (1989; Zbl 0702.58032)
Ize, Jorge; Massabó, Ivar; Vignoli, Alfonso Global results on continuation and bifurcation for equivariant maps. (English) Zbl 0601.58042 Nonlinear functional analysis and its applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1985, NATO ASI Ser., Ser. C 173, 75-111 (1986). Reviewer: M.Willem MSC: 37J35 37K10 55M25 22D10 37G99 PDFBibTeX XML
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. (English) Zbl 0565.57001 Graduate Texts in Mathematics, 104. New York etc.: Springer-Verlag. XV, 430 p. DM 158.00 (1985). MSC: 57-01 55-01 53-01 70G10 70H05 70Sxx 81T08 83F05 22E10 22E15 32Q99 53C05 53C20 53C22 53C30 53C35 53A05 55Q05 55Q15 55Q25 55M20 55M25 55Q40 55R05 55R10 55R25 55R40 57M05 57M10 57M25 57N80 57R20 57R30 57R35 57R70 57R25 37J99 37J35 37K10 37D40 53D25 58J35 58J45 58E30 PDFBibTeX XML