Kim, Hoil; Kim, Taejung Higher residues and canonical pairing on the twisted de Rham cohomology. (English) Zbl 07910774 Proc. Am. Math. Soc. 152, No. 10, 4187-4201 (2024). Reviewer: Scott Nollet (Fort Worth) MSC: 14A22 16E40 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsygan, Boris On noncommutative crystalline cohomology. (English) Zbl 1520.16008 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 491-511 (2023). MSC: 16E40 16S38 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Byungdo; Parzygnat, Arthur J.; Redden, Corbett; Stoffel, Augusto Noncommutative differential \(K\)-theory. (English) Zbl 1487.19010 J. Geom. Phys. 174, Article ID 104446, 40 p. (2022). Reviewer: Daniel Joseph Grady (New York) MSC: 19L50 19D55 58B34 58J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laudal, Olav Arnfinn Mathematical models in science. (English) Zbl 1495.14002 Hackensack, NJ: World Scientific (ISBN 978-1-80061-027-9/hbk; 978-1-80061-029-3/ebook). xii, 306 p. (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14-01 14-02 14A22 14B12 14C05 14D15 14D20 14H50 16D60 16G30 16G99 16S38 81-01 81R60 81T30 81Txx 83-01 83F05 × Cite Format Result Cite Review PDF Full Text: DOI
Halpern-Leistner, Daniel; Pomerleano, Daniel Equivariant Hodge theory and noncommutative geometry. (English) Zbl 1460.14005 Geom. Topol. 24, No. 5, 2361-2433 (2020). Reviewer: Jonas McCandless (Münster) MSC: 14A22 14C30 19D55 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Efimov, Alexander I. Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration. (English) Zbl 1490.18015 Invent. Math. 222, No. 2, 667-694 (2020). Reviewer: Jonathan Rosenberg (College Park) MSC: 18G35 14F08 58A50 14A22 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaledin, D. B.; Konovalov, A. A.; Magidson, K. O. Spectral algebras and non-commutative Hodge-to-de Rham degeneration. (English. Russian original) Zbl 1442.14008 Proc. Steklov Inst. Math. 307, 51-64 (2019); translation from Tr. Mat. Inst. Steklova 307, 63-77 (2019). MSC: 14A22 14F40 14F08 16E40 16S38 14A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcolli, Matilde; Tabuada, Gonçalo Unconditional noncommutative motivic Galois groups. (English) Zbl 1360.14009 Kennedy, Gary (ed.) et al., Hodge theory and classical algebraic geometry. Conference on Hodge theory and classical algebraic geometry, Ohio State University, Columbus, OH, USA, May 13–15, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0990-6/pbk; 978-1-4704-2671-2/ebook). Contemporary Mathematics 647, 109-115 (2015). MSC: 14A22 14C15 14G32 14F40 18G55 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cisinski, Denis-Charles; Tabuada, Gonçalo Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives. (English) Zbl 1326.14006 J. Noncommut. Geom. 8, No. 4, 1171-1190 (2014). MSC: 14A22 14F05 14C20 14F25 14F40 18D10 18D20 19L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Polishchuk, Alexander; Tu, Junwu DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms. (English) Zbl 1317.14004 Math. Ann. 360, No. 1-2, 79-156 (2014). Reviewer: Pieter Belmans (Antwerpen) MSC: 14A22 14F05 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcolli, Matilde; Tabuada, Gonçalo Noncommutative Artin motives. (English) Zbl 1296.14002 Sel. Math., New Ser. 20, No. 1, 315-358 (2014). Reviewer: Claudio Pedrini (Genova) MSC: 14C15 14F40 14G32 18G55 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kubarski, Jan Topology of the cyclic Čech-Hochschild bicomplex. (English) Zbl 1336.58004 Math. Appl. (Brno) 2, No. 1, 21-34 (2013). Reviewer: Vida Milani (North Logan) MSC: 58B34 16E40 55U15 57R20 × Cite Format Result Cite Review PDF Full Text: DOI
Kubarski, Jan Cyclic Čech-Hochschild bicomplex. (English) Zbl 1299.58013 Miskolc Math. Notes 14, No. 2, 713-720 (2013). MSC: 58B34 16E40 57R20 × Cite Format Result Cite Review PDF
Tang, Xiang; Yao, Yi-Jun; Zhang, Weiping Hopf cyclic cohomology and Hodge theory for proper actions. (English) Zbl 1292.58003 J. Noncommut. Geom. 7, No. 3, 885-905 (2013). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 58D19 58A14 58A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liivapuu, Olga Graded \(q\)-differential algebras and algebraic models in noncommutative geometry. (English) Zbl 1357.53001 Dissertationes Mathematicae Universitatis Tartuensis 68. Tartu: University of Tartu Press; Tartu: Univ. Tartu, Faculty of Mathematics and Computer Science, Institute of Mathematics (Diss.) (ISBN 978-9949-19-667-8/pbk; 978-9949-19-668-5/pbk). 112 p. (2011). MSC: 53-02 53C05 16S38 58A12 × Cite Format Result Cite Review PDF Full Text: Link Link
Kaledin, Dmitry Motivic structures in non-commutative geometry. (English) Zbl 1245.14005 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 461-496 (2011). MSC: 14A22 14F05 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Naber, Gregory L. Topology, geometry, and gauge fields. Interactions. 2nd ed. (English) Zbl 1233.53004 Applied Mathematical Sciences 141. New York, NY: Springer (ISBN 978-1-4419-7894-3/hbk; 978-1-4419-7895-0/ebook). xii, 419 p. (2011). Reviewer: Jan Kurek (Lublin) MSC: 53-02 58-02 22E70 53C80 57R20 58A12 58B34 81T13 × Cite Format Result Cite Review PDF Full Text: DOI
Jian, Runqiang Quantum de Rham complex. (Chinese. English summary) Zbl 1240.58002 Acta Sci. Nat. Univ. Sunyatseni 49, No. 2, 145-147, 150 (2010). MSC: 58B34 81R50 16T20 × Cite Format Result Cite Review PDF
Brasselet, Jean-Paul; Pflaum, Markus J. On the homology of algebras of Whitney functions over subanalytic sets. (English) Zbl 1153.32010 Ann. Math. (2) 167, No. 1, 1-52 (2008). Reviewer: Stanco Dimiev (Sofia) MSC: 32B20 14A22 14F40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Van den Bergh, Michel On global deformation quantization in the algebraic case. (English) Zbl 1133.14021 J. Algebra 315, No. 1, 326-395 (2007). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14F40 14A22 16E40 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beggs, Edwin J.; Brzeziński, Tomasz The Serre spectral sequence of a noncommutative fibration for de Rham cohomology. (English) Zbl 1130.46044 Acta Math. 195, No. 2, 155-196 (2005). Reviewer: José Gómez Torrecillas (Granada) MSC: 46L87 16E45 46M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castellani, L.; Catenacci, R.; Debernardi, M.; Pagani, C. Noncommutative de Rham cohomology of finite groups. (English) Zbl 1080.58010 Int. J. Mod. Phys. A 19, No. 12, 1961-1986 (2004). MSC: 58B34 20J06 58B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beggs, E. J.; Brzeziński, Tomasz The van Est spectral sequence for Hopf algebras. (English) Zbl 1087.16024 Int. J. Geom. Methods Mod. Phys. 1, No. 1-2, 33-48 (2004). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 16W30 16E40 17B56 46L87 58A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marconnet, Nicolas Homologies of cubic Artin-Schelter regular algebras. (Homologies d’algèbres Artin-Schelter régulières cubiques.) (French) Zbl 1056.16008 C. R., Math., Acad. Sci. Paris 338, No. 2, 117-120 (2004). MSC: 16E40 16E65 16S38 19D55 × Cite Format Result Cite Review PDF Full Text: DOI
Khalkhali, M.; Rangipour, B. Invariant cyclic homology. (English) Zbl 1028.58006 \(K\)-Theory 28, No. 2, 183-205 (2003). Reviewer: Akira Asada (Matumoto) MSC: 58B34 18G60 55N91 46L87 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cortiñas, Guillermo De Rham and infinitesimal cohomology in Kapranov’s model for non commutative algebraic geometry. (English) Zbl 1022.14002 Compos. Math. 136, No. 2, 171-208 (2003). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14F40 19D55 16S38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gomez, Xavier; Majid, Shahn Noncommutative cohomology and electromagnetism on \({\mathbb C}_q[SL_2]\) at roots of unity. (English) Zbl 1004.58003 Lett. Math. Phys. 60, No. 3, 221-237 (2002). MSC: 58B32 58B34 17B37 78A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baehr, Hanno Stability of continuous cyclic cohomology and operator ideals on Hilbert space. (English) Zbl 1001.46047 Schriftenreihe des Mathematischen Instituts der Universität Münster. 3. Serie. 30. Münster: Univ. Münster, Fachbereich Mathematik und Informatik, 135 p. (2001). Reviewer: Eugene Tokarev (Kharkiv) MSC: 46L80 46L87 47L20 46M20 × Cite Format Result Cite Review PDF
Heckenberger, István; Schüler, Axel De Rham cohomology and Hodge decomposition for quantum groups. (English) Zbl 1015.46042 Proc. Lond. Math. Soc., III. Ser. 83, No. 3, 743-768 (2001). Reviewer: Tomasz Rybicki (Kraków) MSC: 46L87 81R50 58A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brasselet, Jean-Paul Singularities and noncommutative geometry. (English) Zbl 0989.58008 Siersma, D. (ed.) et al., New developments in singularity theory. Proceedings of the NATO Advanced Study Institute on new developments in singularity theory, Cambridge, UK, July 31-August 11, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 21, 135-155 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 58J20 32S60 58A12 58B34 × Cite Format Result Cite Review PDF
Gracia-Bondía, José M.; Várilly, Joseph C.; Figueroa, Héctor Elements of noncommutative geometry. (English) Zbl 0958.46039 Birkhäuser Advanced Texts. Boston, MA: Birkhäuser. xvi, 685 p. $ 59.95; DM 138.00; öS 1008.00; sFr. 118.00 (2001). Reviewer: H.Schröder (Dortmund) MSC: 46L87 46-02 46L51 46L08 46L80 46L85 × Cite Format Result Cite Review PDF
Ivanova, T. A.; Popov, A. D. On symmetries of Chern-Simons and BF topological theories. (English) Zbl 0978.58009 J. Nonlinear Math. Phys. 7, No. 4, 480-494 (2000). Reviewer: Gh.Pitiş (Braşov) MSC: 58H15 58J70 58J42 55R10 81T45 58D27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naber, Gregory L. Topology, geometry, and gauge fields. Interactions. (English) Zbl 0979.53001 Applied Mathematical Sciences. 141. New York, NY: Springer. xiii, 443 p. (2000). Reviewer: Enrique Outerelo (Madrid) MSC: 53-02 58-02 22E70 53C80 57R20 58A12 58B34 81T13 × Cite Format Result Cite Review PDF
Puschnigg, Michael Asymptotic cyclic cohomology. (English) Zbl 0867.19001 Lecture Notes in Mathematics. 1642. Berlin: Springer. xxiii, 238 p. (1997). Reviewer: A.Cap (Wien) MSC: 19-02 18G60 19D55 19K35 19K56 46L80 46L85 58J22 46L87 × Cite Format Result Cite Review PDF Full Text: DOI
Karoubi, Max On the multiplicative \(K\)-theory. (Sur la \(K\)-théorie multiplicative.) (French) Zbl 0889.19001 Cuntz, Joachim J. R. (ed.) et al., Cyclic cohomology and noncommutative geometry. Proceedings of a workshop, Fields Institute, Waterloo, Ont., Canada, June 14–18, 1995. Providence, RI: American Mathematical Society. Fields Inst. Commun. 17, 59-77 (1997). Reviewer: M.Puschnigg (Heidelberg) MSC: 19D55 46L80 × Cite Format Result Cite Review PDF
Yekutieli, Amnon Canonical deformations of de Rham complexes. (English) Zbl 0859.16022 Adv. Math. 115, No. 2, 250-268 (1995). Reviewer: A.G.Aleksandrov (Moskva) MSC: 16S80 17B37 16S32 16W50 14A22 81R50 58H05 14F30 13D25 × Cite Format Result Cite Review PDF Full Text: DOI
Grießl, Max Bicovariant De Rham cohomology of \(SU_ q(2)\). (English) Zbl 0842.17023 J. Geom. Phys. 17, No. 1, 90-94 (1995). MSC: 17B37 58A12 81R50 46L85 46L87 × Cite Format Result Cite Review PDF Full Text: DOI
Cuntz, Joachim; Quillen, Daniel Cyclic homology and nonsingularity. (English) Zbl 0838.19002 J. Am. Math. Soc. 8, No. 2, 373-442 (1995). Reviewer: M.Puschnigg (Heidelberg) MSC: 19D55 14A22 46L85 46L87 19L10 14F40 × Cite Format Result Cite Review PDF Full Text: DOI
Cuntz, Joachim; Quillen, Daniel Algebra extensions and nonsingularity. (English) Zbl 0838.19001 J. Am. Math. Soc. 8, No. 2, 251-289 (1995). Reviewer: M.Puschnigg (Heidelberg) MSC: 19D55 14A22 46L85 46L87 16B50 16W25 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Dubois-Violette, Michel; Michor, Peter W. Derivations and non-commutative differential calculus. II. (Dérivations et calcul différentiel non commutatif. II.) (French. Abridged English version) Zbl 0829.16028 C. R. Acad. Sci., Paris, Sér. I 319, No. 9, 927-931 (1994). Reviewer: J.Kubarski (Łódź) MSC: 16W25 16W50 17B56 16S32 58A12 46L85 46L87 × Cite Format Result Cite Review PDF Full Text: arXiv
Khalkhali, Masoud On the entire cyclic cohomology of Banach algebras. (English) Zbl 0805.46074 Commun. Algebra 22, No. 14, 5861-5874 (1994). MSC: 46M20 46H05 46L87 × Cite Format Result Cite Review PDF Full Text: DOI
Connes, Alain Noncommutative geometry. Transl. from the French by Sterling Berberian. (English) Zbl 0818.46076 San Diego, CA: Academic Press. xiii, 661 p. (1994). Reviewer: H.Schröder (Dortmund) MSC: 46-02 58-02 46L85 46L87 46L51 46L53 46L54 46L80 58J20 58J22 × Cite Format Result Cite Review PDF
Manin, Yu. I. Notes on quantum groups and quantum de Rham complexes. (English) Zbl 0810.17003 Theor. Math. Phys. 92, No. 3, 997-1019 (1992) and Teor. Mat. Fiz. 92, No. 3, 425-450 (1992). Reviewer: V.Pestov (Wellington) MSC: 17B37 16W30 46L85 46L87 × Cite Format Result Cite Review PDF Full Text: DOI
Takhtadzhyan, L. A. Noncommutative homology of quantum tori. (English. Russian original) Zbl 0708.19003 Funct. Anal. Appl. 23, No. 2, 147-149 (1989); translation from Funkts. Anal. Prilozh. 23, No. 2, 75-76 (1989). Reviewer: A.Kufner MSC: 19D55 16W30 18F25 × Cite Format Result Cite Review PDF Full Text: DOI
Coquereaux, R. Noncommutative geometry and theoretical physics. (English) Zbl 0695.16020 J. Geom. Phys. 6, No. 3, 425-490 (1989). Reviewer: E.Kryachko MSC: 16E40 18F25 47A53 81T05 46L80 53C80 58A12 55N35 57R30 × Cite Format Result Cite Review PDF Full Text: DOI
Kastler, Daniel Cyclic cohomology within the differential envelope. An introduction to Alain Connes’ noncommutative differential geometry. (English) Zbl 0662.55001 Travaux en Cours, 30. Paris: Hermann. viii, 183 p. FF 180.00 (1988). Reviewer: Gh.Pitiş MSC: 55N35 55-02 46L80 × Cite Format Result Cite Review PDF
Madsen, Ib Lectures on characteristic classes in algebraic topology. (English) Zbl 0696.57015 Lecture Notes Series. Aarhus University 58. Aarhus: University of Aarhus, Department of Mathematics. 185 p. (1986). MSC: 57R20 55R40 16Exx 55-01 57-01 18F25 58A12 × Cite Format Result Cite Review PDF
Connes, Alain Non-commutative differential geometry. (English) Zbl 0592.46056 Publ. Math., Inst. Hautes Étud. Sci. 62, 41-144 (1985). Reviewer: J. Cuntz MSC: 46L87 46L89 46L85 58B32 58B34 18G35 18G60 58A12 18F25 19D55 19K35 19K56 58J20 58J22 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Feĭgin, B. L.; Tsygan, B. L. Additive \(K\)-theory and crystalline cohomology. (English. Russian original) Zbl 0585.18007 Funct. Anal. Appl. 19, 124-132 (1985); translation from Funkts. Anal. Prilozh. 19, No. 2, 52-62 (1985). Reviewer: Do Ngoc Diep (Hà Nội) MSC: 19K99 19K33 19K35 18F25 46M15 46M20 14F30 17B56 46L80 22E41 18G10 55N15 55R40 55R45 16W50 57R32 × Cite Format Result Cite Review PDF Full Text: DOI
Julg, Pierre; Valette, Alain K-theoretic amenability for \(SL_ 2({\mathbb{Q}}_ p)\), and the action on the associated tree. (English) Zbl 0559.46030 J. Funct. Anal. 58, 194-215 (1984). MSC: 46L55 46M20 × Cite Format Result Cite Review PDF Full Text: DOI