Haus, Knut Bjarte; Quick, Gereon Geometric pushforward in Hodge filtered complex cobordism and secondary invariants. (English) Zbl 07822932 Doc. Math. 29, No. 2, 457-509 (2024). MSC: 55N22 14F43 58J28 19E15 32C35 PDFBibTeX XMLCite \textit{K. B. Haus} and \textit{G. Quick}, Doc. Math. 29, No. 2, 457--509 (2024; Zbl 07822932) Full Text: DOI arXiv OA License
Garoufalidis, Stavros; Scheidegger, Emanuel On the quantum \(K\)-theory of the quintic. (English) Zbl 1487.14120 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 021, 20 p. (2022). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14N35 53D45 39A13 19E20 PDFBibTeX XMLCite \textit{S. Garoufalidis} and \textit{E. Scheidegger}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 021, 20 p. (2022; Zbl 1487.14120) Full Text: DOI arXiv
Freed, Daniel S. The Atiyah-Singer index theorem. (English) Zbl 1523.58019 Bull. Am. Math. Soc., New Ser. 58, No. 4, 517-566 (2021). Reviewer: Bo Liu (Bures-sur-Yvette) MSC: 58J20 58J28 58J52 19K56 81T50 47A53 53C27 PDFBibTeX XMLCite \textit{D. S. Freed}, Bull. Am. Math. Soc., New Ser. 58, No. 4, 517--566 (2021; Zbl 1523.58019) Full Text: DOI arXiv
Cieliebak, Kai; Fukaya, Kenji; Latschev, Janko Homological algebra related to surfaces with boundary. (English) Zbl 1468.18022 Quantum Topol. 11, No. 4, 691-837 (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 18M85 53D42 19D55 55P50 81T13 58J28 PDFBibTeX XMLCite \textit{K. Cieliebak} et al., Quantum Topol. 11, No. 4, 691--837 (2020; Zbl 1468.18022) Full Text: DOI arXiv
Jockers, Hans; Mayr, Peter Quantum K-theory of Calabi-Yau manifolds. (English) Zbl 1429.81090 J. High Energy Phys. 2019, No. 11, Paper No. 11, 21 p. (2019). MSC: 81T60 58J28 14J32 19G38 53Z05 PDFBibTeX XMLCite \textit{H. Jockers} and \textit{P. Mayr}, J. High Energy Phys. 2019, No. 11, Paper No. 11, 21 p. (2019; Zbl 1429.81090) Full Text: DOI arXiv
Hallam, Michael End-periodic \(K\)-homology. (English) Zbl 1409.58016 Aust. Math. Soc. Gaz. 45, No. 1, 24-26 (2018). MSC: 58J22 19K56 19L64 58J28 PDFBibTeX XMLCite \textit{M. Hallam}, Aust. Math. Soc. Gaz. 45, No. 1, 24--26 (2018; Zbl 1409.58016)
Carrillo Rouse, P.; Lescure, J. M.; Monthubert, B. A cohomological formula for the Atiyah-Patodi-Singer index on manifolds with boundary. (English) Zbl 1346.19007 J. Topol. Anal. 6, No. 1, 27-74 (2014). Reviewer: Peter Haskell (Blacksburg) MSC: 19K56 58B34 58H05 58J28 58J22 PDFBibTeX XMLCite \textit{P. Carrillo Rouse} et al., J. Topol. Anal. 6, No. 1, 27--74 (2014; Zbl 1346.19007) Full Text: DOI arXiv
Wahl, Charlotte Higher \(\rho \)-invariants and the surgery structure set. (English) Zbl 1314.19006 J. Topol. 6, No. 1, 154-192 (2013). Reviewer: Jonathan Rosenberg (College Park) MSC: 19J25 58J28 58J22 57R67 PDFBibTeX XMLCite \textit{C. Wahl}, J. Topol. 6, No. 1, 154--192 (2013; Zbl 1314.19006) Full Text: DOI arXiv
Tradler, Thomas; Wilson, Scott O.; Zeinalian, Mahmoud An elementary differential extension of odd \(K\)-theory. (English) Zbl 1327.19014 J. \(K\)-Theory 12, No. 2, 331-361 (2013). Reviewer: Magnus Goffeng (Hannover) MSC: 19L50 58J28 19E20 PDFBibTeX XMLCite \textit{T. Tradler} et al., J. \(K\)-Theory 12, No. 2, 331--361 (2013; Zbl 1327.19014) Full Text: DOI arXiv
Savin, Anton; Sternin, Boris Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. (English) Zbl 1269.58009 Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 1-26 (2013). MSC: 58J20 58J28 58J32 19K56 46L80 58J22 57S05 58-02 58J40 PDFBibTeX XMLCite \textit{A. Savin} and \textit{B. Sternin}, Oper. Theory: Adv. Appl. 231, 1--26 (2013; Zbl 1269.58009) Full Text: DOI arXiv
Sati, Hisham Geometry of \(\mathrm{spin}\) and \(\mathrm{spin}^{c}\) structures in the M-theory partition function. (English) Zbl 1245.81223 Rev. Math. Phys. 24, No. 3, 1250005, 112 p. (2012). MSC: 81T30 81T50 83E15 83E30 53C27 81Q70 58J20 58J28 58Z05 53Z05 19K56 PDFBibTeX XMLCite \textit{H. Sati}, Rev. Math. Phys. 24, No. 3, 1250005, 112 p. (2012; Zbl 1245.81223) Full Text: DOI arXiv
Dayi, Ömer F.; Elbistan, Mahmut; Yunt, Elif Effective field theory of a topological insulator and the Foldy-Wouthuysen transformation. (English) Zbl 1243.81068 Ann. Phys. 327, No. 3, 935-951 (2012). MSC: 81Q05 58J28 81T10 19L10 PDFBibTeX XMLCite \textit{Ö. F. Dayi} et al., Ann. Phys. 327, No. 3, 935--951 (2012; Zbl 1243.81068) Full Text: DOI arXiv
Moriyoshi, Hitoshi; Piazza, Paolo Relative pairings and the Atiyah-Patodi-Singer index formula for the Godbillon-Vey cocycle. (English) Zbl 1248.58015 Connes, Alain (ed.) et al., Noncommutative geometry and global analysis. Conference in honor of Henri Moscovici, Bonn, Germany, June 29–July 4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4944-6/pbk). Contemporary Mathematics 546, 225-247 (2011). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 19K56 46L80 58J28 58J42 PDFBibTeX XMLCite \textit{H. Moriyoshi} and \textit{P. Piazza}, Contemp. Math. 546, 225--247 (2011; Zbl 1248.58015)
Thompson, George Intersection pairings on spaces of connections and Chern-Simons theory on Seifert manifolds. (English) Zbl 1408.58019 Andersen, Jørgen E. (ed.) et al., Chern-Simons gauge theory: 20 years after. Based on the workshop, Bonn, Germany, August 3–7, 2009. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press. AMS/IP Stud. Adv. Math. 50, 317-329 (2011). MSC: 58J28 19L10 57R56 58J22 PDFBibTeX XMLCite \textit{G. Thompson}, AMS/IP Stud. Adv. Math. 50, 317--329 (2011; Zbl 1408.58019) Full Text: arXiv
Matthey, Michel; Pitsch, Wolfgang; Scherer, Jérôme Generalized orientations and the Bloch invariant. (English) Zbl 1245.57016 J. \(K\)-Theory 6, No. 2, 241-261 (2010). MSC: 57M27 19E99 55N20 55P43 57M50 58J28 PDFBibTeX XMLCite \textit{M. Matthey} et al., J. \(K\)-Theory 6, No. 2, 241--261 (2010; Zbl 1245.57016) Full Text: DOI arXiv
Berthomieu, Alain A version of smooth \(K\)-theory adapted to the total Chern class. (English) Zbl 1236.19007 J. \(K\)-Theory 6, No. 2, 197-230 (2010). Reviewer: Julien Grivaux (Marseille) MSC: 19L50 19E20 57R20 PDFBibTeX XMLCite \textit{A. Berthomieu}, J. \(K\)-Theory 6, No. 2, 197--230 (2010; Zbl 1236.19007) Full Text: DOI arXiv
Bunke, Ulrich; Schick, Thomas Smooth \(K\)-theory. (English) Zbl 1202.19007 Dai, Xianzhe (ed.) et al., From probability to geometry II. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-289-1/pbk). Astérisque 328, 45-135 (2009). Reviewer: Sergey Melikhov (Moskva) MSC: 19L10 58J28 55N20 57R19 PDFBibTeX XMLCite \textit{U. Bunke} and \textit{T. Schick}, Astérisque 328, 45--135 (2009; Zbl 1202.19007) Full Text: arXiv Link
Berthomieu, Alain Direct image for some secondary \(K\)-theories. (English) Zbl 1208.19005 Dai, Xianzhe (ed.) et al., From probability to geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-288-4/pbk). Astérisque 327, 289-360 (2009). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 19E20 14F05 57R20 14F40 19D55 53C05 55R50 PDFBibTeX XMLCite \textit{A. Berthomieu}, Astérisque 327, 289--360 (2009; Zbl 1208.19005) Full Text: Link
Schick, Thomas Finite group extensions and the Baum-Connes conjecture. (English) Zbl 1201.58019 Geom. Topol. 11, 1767-1775 (2007). MSC: 58J22 19K33 58J28 19K35 46L80 PDFBibTeX XMLCite \textit{T. Schick}, Geom. Topol. 11, 1767--1775 (2007; Zbl 1201.58019) Full Text: DOI arXiv
Richardson, Ken Generalized equivariant index theory. (English) Zbl 1222.58017 Walczak, Paweł (ed.) et al., Foliations 2005. Proceedings of the international conference, University of Łodź, Łodź, Poland, June 13–24, 2005. Hackensack, NJ: World Scientific (ISBN 981-270-074-9). 373-388 (2006). MSC: 58J22 53C12 58J20 58J28 19K56 PDFBibTeX XMLCite \textit{K. Richardson}, in: Foliations 2005. Proceedings of the international conference, University of Łodź, Łodź, Poland, June 13--24, 2005. Hackensack, NJ: World Scientific. 373--388 (2006; Zbl 1222.58017) Full Text: DOI Link
Bonora, L.; Bytsenko, A. A. Fluxes, brane charges and Chern morphisms of hyperbolic geometry. (English) Zbl 1148.58009 Classical Quantum Gravity 23, No. 11, 3895-3915 (2006). MSC: 58J20 19K56 58J28 58J52 58J90 81T30 PDFBibTeX XMLCite \textit{L. Bonora} and \textit{A. A. Bytsenko}, Classical Quantum Gravity 23, No. 11, 3895--3915 (2006; Zbl 1148.58009) Full Text: DOI arXiv
Bytsenko, Andrei A.; Elizalde, Emilio Brane charges and Chern-Simons invariants of hyperbolic spaces, with cosmological applications. (English) Zbl 1094.58011 J. Phys. A, Math. Gen. 39, No. 21, 6217-6224 (2006). MSC: 58J28 81T30 19M05 83E30 81T10 PDFBibTeX XMLCite \textit{A. A. Bytsenko} and \textit{E. Elizalde}, J. Phys. A, Math. Gen. 39, No. 21, 6217--6224 (2006; Zbl 1094.58011) Full Text: DOI
Savin, A. Yu.; Sternin, B. Yu. The index defect in the theory of nonlocal problems and the \(\eta\)-invariant. (English. Russian original) Zbl 1083.58022 Sb. Math. 195, No. 9, 1321-1358 (2004); translations from Mat. Sb. 195, No. 9, 85-126 (2004). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 58J32 19K56 46L80 58J28 PDFBibTeX XMLCite \textit{A. Yu. Savin} and \textit{B. Yu. Sternin}, Sb. Math. 195, No. 9, 1321--1358 (2004; Zbl 1083.58022) Full Text: DOI
Leichtnam, Eric; Piazza, Paolo Elliptic operators and higher signatures. (English) Zbl 1069.58014 Ann. Inst. Fourier 54, No. 5, 1197-1277 (2004). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 19K56 46L87 57R20 58J28 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, Ann. Inst. Fourier 54, No. 5, 1197--1277 (2004; Zbl 1069.58014) Full Text: DOI arXiv Numdam EuDML
Bunke, Ulrich; Ma, Xiaonan Index and secondary index theory for flat bundles with duality. (English) Zbl 1073.58019 Gil, Juan (ed.) et al., Aspects of boundary problems in analysis and geometry. Basel: Birkhäuser (ISBN 3-7643-7069-6/hbk). Operator Theory: Advances and Applications 151, 265-341 (2004). Reviewer: Wieslaw Oledzki (Bialystok) MSC: 58J22 58J28 19L10 19K56 PDFBibTeX XMLCite \textit{U. Bunke} and \textit{X. Ma}, Oper. Theory: Adv. Appl. 151, 265--341 (2004; Zbl 1073.58019) Full Text: arXiv
Savin, Anton; Schulze, Bert-Wolfgang; Sternin, Boris Elliptic operators in subspaces and the eta invariant. (English) Zbl 1021.58017 \(K\)-Theory 27, No. 3, 253-272 (2002). Reviewer: Peter B.Gilkey (Eugene) MSC: 58J28 58J20 58J22 19K56 PDFBibTeX XMLCite \textit{A. Savin} et al., \(K\)-Theory 27, No. 3, 253--272 (2002; Zbl 1021.58017) Full Text: DOI arXiv
Berthomieu, Alain Proof of Nadel’s conjecture and direct image for relative \(K\)-theory. (English) Zbl 1005.19002 Bull. Soc. Math. Fr. 130, No. 2, 253-307 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 19E20 14C17 19L10 14C40 14C30 32J25 14D20 PDFBibTeX XMLCite \textit{A. Berthomieu}, Bull. Soc. Math. Fr. 130, No. 2, 253--307 (2002; Zbl 1005.19002) Full Text: DOI Link
Leichtnam, Eric; Piazza, Paolo On higher eta-invariants and metrics of positive scalar curvature. (English) Zbl 1010.58019 \(K\)-Theory 24, No. 4, 341-359 (2001). Reviewer: Wieslaw Oledzki (Bialystok) MSC: 58J28 19L41 53C21 58J22 53C27 55N22 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, \(K\)-Theory 24, No. 4, 341--359 (2001; Zbl 1010.58019) Full Text: DOI
Freed, Daniel S. The Verlinde algebra is twisted equivariant \(K\)-theory. (English) Zbl 0971.55006 Turk. J. Math. 25, No. 1, 159-167 (2001). MSC: 55N15 81T45 81T30 19M05 57R56 PDFBibTeX XMLCite \textit{D. S. Freed}, Turk. J. Math. 25, No. 1, 159--167 (2001; Zbl 0971.55006) Full Text: arXiv
Leichtnam, Eric; Lott, John; Piazza, Paolo On the homotopy invariance of higher signatures for manifolds with boundary. (English) Zbl 1032.58012 J. Differ. Geom. 54, No. 3, 561-633 (2000). Reviewer: Sergiu Moroianu (Toulouse) MSC: 58J22 19K56 58J28 58J32 PDFBibTeX XMLCite \textit{E. Leichtnam} et al., J. Differ. Geom. 54, No. 3, 561--633 (2000; Zbl 1032.58012) Full Text: DOI arXiv
Leichtnam, Eric; Piazza, Paolo A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings. (English) Zbl 0957.58017 Ann. Global Anal. Geom. 18, No. 2, 171-189 (2000). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 58J32 19D55 58J40 58J28 46L87 19K56 PDFBibTeX XMLCite \textit{E. Leichtnam} and \textit{P. Piazza}, Ann. Global Anal. Geom. 18, No. 2, 171--189 (2000; Zbl 0957.58017) Full Text: DOI