Rabinovich, Eugene The Batalin-Vilkovisky formalism and the determinant line bundle. (English) Zbl 1451.58013 J. Geom. Phys. 156, Article ID 103792, 17 p. (2020). MSC: 58J52 81T70 PDF BibTeX XML Cite \textit{E. Rabinovich}, J. Geom. Phys. 156, Article ID 103792, 17 p. (2020; Zbl 1451.58013) Full Text: DOI arXiv OpenURL
Helminck, G. F.; Panasenko, E. A. Expressions in Fredholm determinants for solutions of the strict KP hierarchy. (English. Russian original) Zbl 1429.37038 Theor. Math. Phys. 199, No. 2, 637-651 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 193-209 (2019). MSC: 37K10 37K20 37K30 PDF BibTeX XML Cite \textit{G. F. Helminck} and \textit{E. A. Panasenko}, Theor. Math. Phys. 199, No. 2, 637--651 (2019; Zbl 1429.37038); translation from Teor. Mat. Fiz. 199, No. 2, 193--209 (2019) Full Text: DOI OpenURL
Belkale, P.; Gibney, A. On finite generation of the section ring of the determinant of cohomology line bundle. (English) Zbl 1433.14027 Trans. Am. Math. Soc. 371, No. 10, 7199-7242 (2019). Reviewer: Usha N. Bhosle (Bangalore) MSC: 14H60 14D20 14L24 81T40 PDF BibTeX XML Cite \textit{P. Belkale} and \textit{A. Gibney}, Trans. Am. Math. Soc. 371, No. 10, 7199--7242 (2019; Zbl 1433.14027) Full Text: DOI arXiv OpenURL
Fathi, Ali; Ghorbanpour, Asghar; Khalkhali, Masoud Curvature of the determinant line bundle for the noncommutative two torus. (English) Zbl 1413.46063 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017). MSC: 46L87 58B34 PDF BibTeX XML Cite \textit{A. Fathi} et al., Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017; Zbl 1413.46063) Full Text: DOI arXiv OpenURL
Su, Guangxiang The asymptotics for Cappell-Miller holomorphic torsion. (English) Zbl 1391.32028 Manuscr. Math. 154, No. 3-4, 411-428 (2017). Reviewer: Dan Coman (Syracuse) MSC: 32L05 58J52 PDF BibTeX XML Cite \textit{G. Su}, Manuscr. Math. 154, No. 3--4, 411--428 (2017; Zbl 1391.32028) Full Text: DOI OpenURL
Tian, Gang K-stability implies CM-stability. (English) Zbl 1376.32012 Bost, Jean-Benoît (ed.) et al., Geometry, analysis and probability. In Honor of Jean-Michel Bismut. Selected papers based on the presentations at the conference ‘Control, index, traces and determinants – the journey of a probabilist’, Orsay, France, May 27–31, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-49636-8/hbk; 978-3-319-49638-2/ebook). Progress in Mathematics 310, 245-261 (2017). Reviewer: Antonella Nannicini (Firenze) MSC: 32C15 14N05 53C55 PDF BibTeX XML Cite \textit{G. Tian}, Prog. Math. 310, 245--261 (2017; Zbl 1376.32012) Full Text: DOI arXiv OpenURL
Teleman, Andrei A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces. (English) Zbl 1390.32015 Bost, Jean-Benoît (ed.) et al., Geometry, analysis and probability. In Honor of Jean-Michel Bismut. Selected papers based on the presentations at the conference ‘Control, index, traces and determinants – the journey of a probabilist’, Orsay, France, May 27–31, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-49636-8/hbk; 978-3-319-49638-2/ebook). Progress in Mathematics 310, 217-243 (2017). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 32L10 58J52 32Q57 32G13 PDF BibTeX XML Cite \textit{A. Teleman}, Prog. Math. 310, 217--243 (2017; Zbl 1390.32015) Full Text: DOI arXiv OpenURL
Greb, Daniel; Toma, Matei Compact moduli spaces for slope-semistable sheaves. (English) Zbl 1423.14076 Algebr. Geom. 4, No. 1, 40-78 (2017). Reviewer: Yao Yuan (Beijing) MSC: 14D20 14J60 58D27 PDF BibTeX XML Cite \textit{D. Greb} and \textit{M. Toma}, Algebr. Geom. 4, No. 1, 40--78 (2017; Zbl 1423.14076) Full Text: DOI arXiv OpenURL
Su, Guangxiang Holomorphic \(L^{2}\) torsion without determinant class condition. (English) Zbl 1327.58031 Proc. Am. Math. Soc. 143, No. 10, 4513-4524 (2015). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 58J52 PDF BibTeX XML Cite \textit{G. Su}, Proc. Am. Math. Soc. 143, No. 10, 4513--4524 (2015; Zbl 1327.58031) Full Text: DOI OpenURL
Choi, Jinwon; Chung, Kiryong The geometry of the moduli space of one-dimensional sheaves. (English) Zbl 1349.14045 Sci. China, Math. 58, No. 3, 487-500 (2015). MSC: 14D20 14E30 14F05 PDF BibTeX XML Cite \textit{J. Choi} and \textit{K. Chung}, Sci. China, Math. 58, No. 3, 487--500 (2015; Zbl 1349.14045) Full Text: DOI arXiv OpenURL
Biswas, Indranil Realization of an equivariant holomorphic Hermitian line bundle as a Quillen determinant bundle. (English) Zbl 1332.32024 Proc. Am. Math. Soc. 143, No. 7, 3183-3187 (2015). Reviewer: Luiz Hartmann (São Carlos) MSC: 32M05 32L05 PDF BibTeX XML Cite \textit{I. Biswas}, Proc. Am. Math. Soc. 143, No. 7, 3183--3187 (2015; Zbl 1332.32024) Full Text: DOI arXiv OpenURL
Berman, Robert J. Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle. (English) Zbl 1353.32022 Albin, Pierre (ed.) et al., Geometric and spectral analysis. CRM workshops on ‘Geometry of eigenvalues and eigenfunctions, June 4–8, 2012’, ‘Manifolds of metrics and probabilistic methods in geometry and analysis’, July 2–6, 2012, ‘Spectral invariants on non-compact and singular spaces’, July 23–27, 2012, Centre de Recherches Mathématiques, Montréal, Canada. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1043-8/pbk; 978-1-4704-2059-8/ebook). Contemporary Mathematics 630. Centre de Recherches Mathématiques Proceedings, 15-31 (2014). MSC: 32L05 58J52 81Q60 PDF BibTeX XML Cite \textit{R. J. Berman}, Contemp. Math. 630, 15--31 (2014; Zbl 1353.32022) Full Text: DOI OpenURL
Biswas, Indranil; Schumacher, Georg Deligne pairing and Quillen metric. (English) Zbl 1326.14038 Int. J. Math. 25, No. 14, Article ID 1450122, 13 p. (2014). MSC: 14F05 14D06 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{G. Schumacher}, Int. J. Math. 25, No. 14, Article ID 1450122, 13 p. (2014; Zbl 1326.14038) Full Text: DOI arXiv OpenURL
Carrión, José R.; Dadarlat, Marius Quasi-representations of surface groups. (English) Zbl 1300.46046 J. Lond. Math. Soc., II. Ser. 88, No. 2, 501-522 (2013). Reviewer: Stefan Wagner (Helsinki) MSC: 46L05 46L80 46L85 PDF BibTeX XML Cite \textit{J. R. Carrión} and \textit{M. Dadarlat}, J. Lond. Math. Soc., II. Ser. 88, No. 2, 501--522 (2013; Zbl 1300.46046) Full Text: DOI arXiv OpenURL
Georgieva, Penka The orientability problem in open Gromov-Witten theory. (English) Zbl 1278.53088 Geom. Topol. 17, No. 4, 2485-2512 (2013). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 53D45 57R17 14N35 PDF BibTeX XML Cite \textit{P. Georgieva}, Geom. Topol. 17, No. 4, 2485--2512 (2013; Zbl 1278.53088) Full Text: DOI arXiv OpenURL
Wentworth, Richard A. Gluing formulas for determinants of Dolbeault Laplacians on Riemann surfaces. (English) Zbl 1257.30044 Commun. Anal. Geom. 20, No. 3, 455-499 (2012). MSC: 30F10 58J52 PDF BibTeX XML Cite \textit{R. A. Wentworth}, Commun. Anal. Geom. 20, No. 3, 455--499 (2012; Zbl 1257.30044) Full Text: DOI arXiv OpenURL
Malmendier, Andreas The signature of the Seiberg-Witten surface. (English) Zbl 1243.14035 Mrowka, Tomasz (ed.) et al., Perspectives in mathematics and physics: Essays dedicated to Isadore Singer’s 85th birthday. Somerville, MA: International Press (ISBN 978-1-57146-145-2/hbk). Surveys in Differential Geometry 15, 255-277 (2011). Reviewer: Sergiy Koshkin (Houston) MSC: 14J80 PDF BibTeX XML Cite \textit{A. Malmendier}, Surv. Differ. Geom. 15, 255--277 (2011; Zbl 1243.14035) Full Text: arXiv OpenURL
Bunke, Ulrich String structures and trivialisations of a Pfaffian line bundle. (English) Zbl 1238.58022 Commun. Math. Phys. 307, No. 3, 675-712 (2011). Reviewer: Charlotte Wahl (Hannover) MSC: 58J52 58J22 58Z05 53C27 81T40 PDF BibTeX XML Cite \textit{U. Bunke}, Commun. Math. Phys. 307, No. 3, 675--712 (2011; Zbl 1238.58022) Full Text: DOI arXiv Backlinks: MO OpenURL
Biswas, Indranil; Schumacher, Georg; Weng, Lin Deligne pairing and determinant bundle. (English) Zbl 1219.14023 Electron. Res. Announc. Math. Sci. 18, 91-96 (2011). MSC: 14F05 14D06 PDF BibTeX XML Cite \textit{I. Biswas} et al., Electron. Res. Announc. Math. Sci. 18, 91--96 (2011; Zbl 1219.14023) Full Text: DOI arXiv OpenURL
Kahle, Alexander Superconnections and index theory. (English) Zbl 1225.58010 J. Geom. Phys. 61, No. 8, 1601-1624 (2011). Reviewer: Ren Guo (Corvallis) MSC: 58J20 58C50 53C27 58J28 58J52 PDF BibTeX XML Cite \textit{A. Kahle}, J. Geom. Phys. 61, No. 8, 1601--1624 (2011; Zbl 1225.58010) Full Text: DOI arXiv OpenURL
Abe, Takeshi Deformation of rank 2 quasi-bundles and some strange dualities for rational surfaces. (English) Zbl 1208.14034 Duke Math. J. 155, No. 3, 577-620 (2010). Reviewer: Iustin Coandă (Bucureşti) MSC: 14J60 14D23 14B10 14J26 PDF BibTeX XML Cite \textit{T. Abe}, Duke Math. J. 155, No. 3, 577--620 (2010; Zbl 1208.14034) Full Text: DOI OpenURL
Scott, Simon \(\eta \) forms and determinant lines. (English) Zbl 1209.58021 Adv. Math. 225, No. 5, 2517-2545 (2010). Reviewer: Wadim Zudilin (Bonn) MSC: 58J52 58J32 PDF BibTeX XML Cite \textit{S. Scott}, Adv. Math. 225, No. 5, 2517--2545 (2010; Zbl 1209.58021) Full Text: DOI arXiv OpenURL
Stevenson, Danny Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle. (English) Zbl 1186.22024 J. Geom. Phys. 60, No. 4, 664-677 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 53C05 PDF BibTeX XML Cite \textit{D. Stevenson}, J. Geom. Phys. 60, No. 4, 664--677 (2010; Zbl 1186.22024) Full Text: DOI arXiv OpenURL
Chakraborty, Partha Sarathi; Mathai, Varghese The geometry of determinant line bundles in noncommutative geometry. (English) Zbl 1181.58020 J. Noncommut. Geom. 3, No. 4, 559-578 (2009). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J42 58B34 46L87 58J52 58J20 PDF BibTeX XML Cite \textit{P. S. Chakraborty} and \textit{V. Mathai}, J. Noncommut. Geom. 3, No. 4, 559--578 (2009; Zbl 1181.58020) Full Text: DOI arXiv Link OpenURL
Albin, Pierre; Rochon, Frédéric A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces. (English) Zbl 1171.30017 Commun. Math. Phys. 289, No. 2, 483-527 (2009). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 30F60 32G15 58J20 PDF BibTeX XML Cite \textit{P. Albin} and \textit{F. Rochon}, Commun. Math. Phys. 289, No. 2, 483--527 (2009; Zbl 1171.30017) Full Text: DOI arXiv OpenURL
Weiss, Hartmut The variation formulas for the equivariant Ray-Singer metric. (English) Zbl 1210.58027 Int. J. Math. 19, No. 9, 1021-1051 (2008). MSC: 58J52 58J35 57Q10 PDF BibTeX XML Cite \textit{H. Weiss}, Int. J. Math. 19, No. 9, 1021--1051 (2008; Zbl 1210.58027) Full Text: DOI arXiv OpenURL
Melrose, Richard; Rochon, Frédéric Boundaries, eta invariant and the determinant bundle. (English) Zbl 1196.58015 Burghelea, Dan (ed.) et al., \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser (ISBN 978-3-7643-8603-0/hbk). Trends in Mathematics, 149-181 (2008). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J52 58J28 PDF BibTeX XML Cite \textit{R. Melrose} and \textit{F. Rochon}, in: \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser. 149--181 (2008; Zbl 1196.58015) Full Text: arXiv OpenURL
Teixidor I Bigas, Montserrat Petri map for rank two bundles with canonical determinant. (English) Zbl 1143.14028 Compos. Math. 144, No. 3, 705-720 (2008). Reviewer: Nicolae Manolache (Bucureşti) MSC: 14H60 PDF BibTeX XML Cite \textit{M. Teixidor I Bigas}, Compos. Math. 144, No. 3, 705--720 (2008; Zbl 1143.14028) Full Text: DOI arXiv OpenURL
Melrose, Richard; Rochon, Frédéric Periodicity and the determinant bundle. (English) Zbl 1130.58013 Commun. Math. Phys. 274, No. 1, 141-186 (2007). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J28 58J52 PDF BibTeX XML Cite \textit{R. Melrose} and \textit{F. Rochon}, Commun. Math. Phys. 274, No. 1, 141--186 (2007; Zbl 1130.58013) Full Text: DOI arXiv OpenURL
Ma, Xiaonan; Marinescu, George Holomorphic Morse inequalities and Bergman kernels. (English) Zbl 1135.32001 Progress in Mathematics 254. Basel: Birkhäuser (ISBN 978-3-7643-8096-0/hbk). xiii, 422 p. (2007). Reviewer: Julien Keller (Marseille) MSC: 32-02 53-02 58-02 32A25 58J35 58J50 58J52 53D50 PDF BibTeX XML Cite \textit{X. Ma} and \textit{G. Marinescu}, Holomorphic Morse inequalities and Bergman kernels. Basel: Birkhäuser (2007; Zbl 1135.32001) OpenURL
Fujita, Hajime On the functoriality of the Chern-Simons line bundle and the determinant line bundle. (English) Zbl 1110.58005 Commun. Contemp. Math. 8, No. 6, 715-735 (2006). Reviewer: Maido Rahula (Tartu) MSC: 58D29 58J28 58J52 53C07 57M60 PDF BibTeX XML Cite \textit{H. Fujita}, Commun. Contemp. Math. 8, No. 6, 715--735 (2006; Zbl 1110.58005) Full Text: DOI OpenURL
Dey, Rukmini Geometric quantization of the moduli space of the self-duality equations on a Riemann surface. (English) Zbl 1099.53021 Rep. Math. Phys. 57, No. 2, 179-188 (2006). MSC: 53D50 53C07 53D20 58J52 PDF BibTeX XML Cite \textit{R. Dey}, Rep. Math. Phys. 57, No. 2, 179--188 (2006; Zbl 1099.53021) Full Text: DOI arXiv OpenURL
Abdalla, M. C. B.; Bytsenko, A. A.; Guimarães, M. E. X. Complex topological invariants of three-hyperbolic manifolds. (English) Zbl 1099.58007 J. Dyn. Syst. Geom. Theor. 4, No. 1, 1-27 (2006). MSC: 58J28 11M36 57T10 58J52 83C47 PDF BibTeX XML Cite \textit{M. C. B. Abdalla} et al., J. Dyn. Syst. Geom. Theor. 4, No. 1, 1--27 (2006; Zbl 1099.58007) Full Text: DOI OpenURL
Kappeler, Thomas; Latschev, Janko Counting solutions of perturbed harmonic map equations. (English) Zbl 1092.58012 Enseign. Math., II. Sér. 51, No. 1-2, 47-85 (2005). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 53C43 PDF BibTeX XML Cite \textit{T. Kappeler} and \textit{J. Latschev}, Enseign. Math. (2) 51, No. 1--2, 47--85 (2005; Zbl 1092.58012) OpenURL
Dey, Rukmini Quantization of a dimensionally reduced Seiberg-Witten moduli space. (English) Zbl 1076.53111 Math. Phys. Electron. J. 10, Paper No. 9, 8 p. (2004). MSC: 53D50 58D27 58J52 PDF BibTeX XML Cite \textit{R. Dey}, Math. Phys. Electron. J. 10, Paper No. 9, 8 p. (2004; Zbl 1076.53111) Full Text: EuDML EMIS OpenURL
Furutani, Kenro On the Quillen determinant. (English) Zbl 1078.53077 J. Geom. Phys. 49, No. 3-4, 366-375 (2004). Reviewer: Agostino Prástaro (Roma) MSC: 53D12 58J30 58B15 53D50 PDF BibTeX XML Cite \textit{K. Furutani}, J. Geom. Phys. 49, No. 3--4, 366--375 (2004; Zbl 1078.53077) Full Text: DOI arXiv OpenURL
Bunke, Ulrich; Park, Jinsung Determinant bundles, boundaries, and surgery. (English) Zbl 1084.58012 J. Geom. Phys. 52, No. 1, 28-43 (2004). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J52 57R65 58J32 PDF BibTeX XML Cite \textit{U. Bunke} and \textit{J. Park}, J. Geom. Phys. 52, No. 1, 28--43 (2004; Zbl 1084.58012) Full Text: DOI arXiv OpenURL
Bourgeois, Frédéric; Mohnke, Klaus Coherent orientations in symplectic field theory. (English) Zbl 1060.53080 Math. Z. 248, No. 1, 123-146 (2004). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53D40 57R17 58E05 PDF BibTeX XML Cite \textit{F. Bourgeois} and \textit{K. Mohnke}, Math. Z. 248, No. 1, 123--146 (2004; Zbl 1060.53080) Full Text: DOI arXiv OpenURL
Ben-Zvi, David; Biswas, Indranil Theta functions and Szegö kernels. (English) Zbl 1026.14008 Int. Math. Res. Not. 2003, No. 24, 1305-1340 (2003). Reviewer: E.Ballico (Povo) MSC: 14H60 14H42 14H10 14K25 PDF BibTeX XML Cite \textit{D. Ben-Zvi} and \textit{I. Biswas}, Int. Math. Res. Not. 2003, No. 24, 1305--1340 (2003; Zbl 1026.14008) Full Text: DOI arXiv OpenURL
Lott, John Higher-degree analogs of the determinant line bundle. (English) Zbl 1027.58026 Commun. Math. Phys. 230, No. 1, 41-69 (2002). Reviewer: Katharina Habermann (Greifswald) MSC: 58J52 19K56 34L40 14F43 PDF BibTeX XML Cite \textit{J. Lott}, Commun. Math. Phys. 230, No. 1, 41--69 (2002; Zbl 1027.58026) Full Text: DOI arXiv OpenURL
Scott, Simon Relative zeta determinants and the geometry of the determinant line bundle. (English) Zbl 0983.58014 Electron. Res. Announc. Am. Math. Soc. 7, 8-16 (2001). MSC: 58J52 11M36 81T50 PDF BibTeX XML Cite \textit{S. Scott}, Electron. Res. Announc. Am. Math. Soc. 7, 8--16 (2001; Zbl 0983.58014) Full Text: DOI EuDML OpenURL
Torres-Ardila, Fabian Determinant of the Dirac operator over the interval \([0,\beta]\). (English) Zbl 1019.58010 Ocampo, Hernan (ed.) et al., Geometric methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 12-30, 1999. Singapore: World Scientific. 509-520 (2001). MSC: 58J52 35J25 37N20 35Q40 PDF BibTeX XML Cite \textit{F. Torres-Ardila}, in: Geometric methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 12--30, 1999. Singapore: World Scientific. 509--520 (2001; Zbl 1019.58010) OpenURL
Ma, Xiaonan Submersions and equivariant Quillen metrics. (English) Zbl 0964.58025 Ann. Inst. Fourier 50, No. 5, 1539-1588 (2000). Reviewer: Peter Haskell (Blacksburg) MSC: 58J52 32L10 58J35 32L05 57S15 32J25 PDF BibTeX XML Cite \textit{X. Ma}, Ann. Inst. Fourier 50, No. 5, 1539--1588 (2000; Zbl 0964.58025) Full Text: DOI Numdam EuDML OpenURL
Kawaguchi, Shu Height and arithmetic intersection for a family of semi-stable curves. (English) Zbl 0973.14012 J. Math. Kyoto Univ. 39, No. 3, 469-492 (1999). Reviewer: A.Dabrowski (Szczecin) MSC: 14G40 14C40 11G50 PDF BibTeX XML Cite \textit{S. Kawaguchi}, J. Math. Kyoto Univ. 39, No. 3, 469--492 (1999; Zbl 0973.14012) Full Text: DOI arXiv OpenURL
Bismut, Jean-Michel Local index theory, eta invariants and holomorphic torsion: A survey. (English) Zbl 0967.58014 Hsiung, C. C. (ed.) et al., Surveys in differential geometry. Vol. III. A supplement to the Journal of Differential Geometry. Lectures on geometry and topology in honor of the 80th birthday of Chuan-Chih Hsiung, Harvard University, Cambridge, MA, USA, May 3-5, 1996. Boston, MA: International Press. 1-76 (1998). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 58J52 58-02 32L10 58J28 58J35 57R20 14C40 PDF BibTeX XML Cite \textit{J.-M. Bismut}, in: Surveys in differential geometry. Vol. III: Lectures on geometry and topology in honor of the 80th birthday of Chuan-Chih Hsiung, Harvard University, Cambridge, MA, USA, May 3--5, 1996. Boston, MA: International Press. 1--76 (1998; Zbl 0967.58014) OpenURL
Spera, Mauro; Wurzbacher, Tilmann Determinants, Pfaffians and quasi-free representations of the car algebra. (English) Zbl 0917.46061 Rev. Math. Phys. 10, No. 5, 705-721 (1998). MSC: 46L55 53D50 32H02 14F25 81R30 46N50 46L40 PDF BibTeX XML Cite \textit{M. Spera} and \textit{T. Wurzbacher}, Rev. Math. Phys. 10, No. 5, 705--721 (1998; Zbl 0917.46061) Full Text: DOI OpenURL
Pauly, Christian Rank 2 parabolic bundles and generalized theta functions. (Fibrés paraboliques de rang 2 et fonctions thêta généralisées.) (French) Zbl 0905.14016 Math. Z. 228, No. 1, 31-50 (1998). Reviewer: Christian Pauly (Nice) MSC: 14H60 14K25 14F05 14M12 PDF BibTeX XML Cite \textit{C. Pauly}, Math. Z. 228, No. 1, 31--50 (1998; Zbl 0905.14016) Full Text: DOI OpenURL
Mukai, Shigeru Curves and K3 surfaces of genus eleven. (English) Zbl 0884.14010 Maruyama, Masaki (ed.), Moduli of vector bundles. Papers of the 35th Taniguchi symposium, Sanda, Japan, and a symposium held in Kyoto, Japan, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 179, 189-197 (1996). Reviewer: G.Bolondi (Povo) MSC: 14H10 14J28 14M12 PDF BibTeX XML Cite \textit{S. Mukai}, Lect. Notes Pure Appl. Math. 179, 189--197 (1996; Zbl 0884.14010) OpenURL
Li, Jun Picard groups of the moduli spaces of vector bundles over algebraic surfaces. (English) Zbl 0930.14005 Maruyama, Masaki (ed.), Moduli of vector bundles. Papers of the 35th Taniguchi symposium, Sanda, Japan, and a symposium held in Kyoto, Japan, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 179, 129-146 (1996). Reviewer: A.Iliev (Sofia) MSC: 14C22 14J15 57R20 PDF BibTeX XML Cite \textit{J. Li}, Lect. Notes Pure Appl. Math. 179, 129--146 (1996; Zbl 0930.14005) Full Text: arXiv OpenURL
Mukai, Shigeru Vector bundles and Brill-Noether theory. (English) Zbl 0866.14024 Clemens, Herbert (ed.) et al., Current topics in complex algebraic geometry. New York, NY: Cambridge University Press. Math. Sci. Res. Inst. Publ. 28, 145-158 (1995). Reviewer: W.Kleinert (Berlin) MSC: 14H60 14M12 14J45 14D20 PDF BibTeX XML Cite \textit{S. Mukai}, Math. Sci. Res. Inst. Publ. 28, 145--158 (1995; Zbl 0866.14024) Full Text: Link OpenURL
Maciocia, Antony The determinant line bundle over moduli spaces of instantons on abelian surfaces. (English) Zbl 0806.14035 Math. Z. 217, No. 2, 317-333 (1994). Reviewer: A.Maciocia (Edinburgh) MSC: 14M12 14F10 14J60 14K99 PDF BibTeX XML Cite \textit{A. Maciocia}, Math. Z. 217, No. 2, 317--333 (1994; Zbl 0806.14035) Full Text: DOI EuDML OpenURL
Tsuchimoto, Yoshifumi On the coordinate-free description of the conformal blocks. (English) Zbl 0790.14022 J. Math. Kyoto Univ. 33, No. 1, 29-49 (1993). Reviewer: P.Šťovíček (Praha) MSC: 14H10 17B68 81T40 14F05 PDF BibTeX XML Cite \textit{Y. Tsuchimoto}, J. Math. Kyoto Univ. 33, No. 1, 29--49 (1993; Zbl 0790.14022) Full Text: DOI OpenURL
Glazebrook, James F.; Kamber, Franz W. Determinant line bundles for Hermitian foliations and a generalized Quillen metric. (English) Zbl 0747.58049 Several complex variables and complex geometry, Proc. Summer Res. Inst., Santa Cruz/CA (USA) 1989, Proc. Symp. Pure Math. 52, Part 2, 225-232 (1991). Reviewer: C.Zuily (Orsay) MSC: 58J40 58J60 53C12 53C55 PDF BibTeX XML Cite \textit{J. F. Glazebrook} and \textit{F. W. Kamber}, Proc. Symp. Pure Math. None, 225--232 (1991; Zbl 0747.58049) OpenURL
Franke, Jens Chern functors. (English) Zbl 0742.14007 Arithmetic algebraic geometry, Proc. Conf., Texel/Neth. 1989, Prog. Math. 89, 75-152 (1991). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14C40 14M12 57R20 PDF BibTeX XML Cite \textit{J. Franke}, Prog. Math. None, 75--152 (1991; Zbl 0742.14007) OpenURL
Pressley, Andrew; Segal, Graeme B. [Wilson, G.; Zelevinskij, A. V.; Radul, A. O.] Loop groups. (Gruppy petel’). With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Russian) Zbl 0733.22012 Moskva: Mir. 456 p. R. 2.90 (1990). MSC: 22E65 17B67 22-02 32M10 46M20 43A85 14M15 PDF BibTeX XML OpenURL
Mickelsson, Jouko Current algebras in \(3+1\) space-time dimensions. (English) Zbl 0759.22023 Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 254-272 (1989). MSC: 22E65 17B65 81R10 58D15 81R40 PDF BibTeX XML Cite \textit{J. Mickelsson}, Adv. Ser. Math. Phys. 7, 254--272 (1989; Zbl 0759.22023) OpenURL
Mickelsson, Jouko Current algebras and groups. (English) Zbl 0726.22015 Plenum Monographs in Nonlinear Physics. New York etc.: Plenum Press. xvii, 313 p. $ 79.50 (1989). Reviewer: A.N.Pressley (London) MSC: 22E65 81R10 17B65 22-02 58B25 17B81 17B66 22E70 58D05 PDF BibTeX XML Cite \textit{J. Mickelsson}, Current algebras and groups. New York etc.: Plenum Press (1989; Zbl 0726.22015) OpenURL
Gillet, Henri; Soulé, Christophe Un théorème de Riemann-Roch-Grothendieck arithmétique. (An arithmetic Riemann-Roch-Grothendieck theorem). (French) Zbl 0732.14002 C. R. Acad. Sci., Paris, Sér. I 309, No. 17, 929-932 (1989). MSC: 14C40 14G40 14M12 PDF BibTeX XML Cite \textit{H. Gillet} and \textit{C. Soulé}, C. R. Acad. Sci., Paris, Sér. I 309, No. 17, 929--932 (1989; Zbl 0732.14002) OpenURL
Blau, Matthias Group cocycles, line bundles, and anomalies. (English) Zbl 0695.55012 J. Math. Phys. 30, No. 10, 2226-2232 (1989). MSC: 55R25 53C80 81T08 PDF BibTeX XML Cite \textit{M. Blau}, J. Math. Phys. 30, No. 10, 2226--2232 (1989; Zbl 0695.55012) Full Text: DOI OpenURL
Bismut, Jean-Michel; Bost, Jean-Benoît Fibrés déterminants, métriques de Quillen et dégénérescence des courbes. (Determinant line bundles, Quillen metrics and degenerating curves). (French) Zbl 0652.32019 C. R. Acad. Sci., Paris, Sér. I 307, No. 7, 317-320 (1988). Reviewer: M.Hervé MSC: 32L05 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{J.-B. Bost}, C. R. Acad. Sci., Paris, Sér. I 307, No. 7, 317--320 (1988; Zbl 0652.32019) OpenURL
Arbarello, E.; De Concini, C.; Kac, V. G.; Procesi, C. Moduli spaces of curves and representation theory. (English) Zbl 0647.17010 Commun. Math. Phys. 117, No. 1, 1-36 (1988). Reviewer: A.N.Pressley MSC: 17B66 58B25 32G15 17B56 PDF BibTeX XML Cite \textit{E. Arbarello} et al., Commun. Math. Phys. 117, No. 1, 1--36 (1988; Zbl 0647.17010) Full Text: DOI OpenURL
Pressley, Andrew; Segal, Graeme Loop groups. Repr. with corrections. (English) Zbl 0638.22009 Oxford Mathematical Monographs. Oxford (UK): Clarendon Press. viii, 318 p. £15.00 (1988). MSC: 22E65 17B67 22-02 46M20 14M15 43A85 32M10 PDF BibTeX XML Cite \textit{A. Pressley} and \textit{G. Segal}, Loop groups. Repr. with corrections. Oxford (UK): Clarendon Press (1988; Zbl 0638.22009) OpenURL
D’Hoker, Eric; Phong, D. H. Geometry of quantum strings. (English) Zbl 0662.53065 Mathematical aspects of string theory, Proc. Conf., San Diego/Calif. 1986, Adv. Ser. Math. Phys. 1, 29-59 (1987). Reviewer: H.Rumpf MSC: 53C80 83E99 58D30 PDF BibTeX XML OpenURL
Della Pietra, S.; Della Pietra, V. Parallel transport in the determinant line bundle: The zero index case. (English) Zbl 0648.58036 Commun. Math. Phys. 110, 573-599 (1987). Reviewer: K.H.Mayer MSC: 58J20 PDF BibTeX XML Cite \textit{S. Della Pietra} and \textit{V. Della Pietra}, Commun. Math. Phys. 110, 573--599 (1987; Zbl 0648.58036) Full Text: DOI OpenURL
Mickelsson, Jouko Kac-Moody groups and the Dirac determinant line bundle. (English) Zbl 0632.22013 Topological and geometrical methods in field theory, Proc. Symp., Espoo/Finl. 1986, 117-132 (1987). Reviewer: H.Boseck MSC: 22E65 17B67 PDF BibTeX XML OpenURL
Della Pietra, S.; Della Pietra, V. Parallel transport in the determinant line bundle: The non-zero index case. (English) Zbl 0629.53029 Commun. Math. Phys. 111, 11-31 (1987). Reviewer: G.Zet MSC: 53C05 58J60 53C80 55R10 PDF BibTeX XML Cite \textit{S. Della Pietra} and \textit{V. Della Pietra}, Commun. Math. Phys. 111, 11--31 (1987; Zbl 0629.53029) Full Text: DOI OpenURL
Bismut, Jean-Michel; Freed, Daniel S. The analysis of elliptic families. I: Metrics and connections on determinant bundles. (English) Zbl 0657.58037 Commun. Math. Phys. 106, 159-176 (1986). Reviewer: N.Jacob MSC: 58J10 53C05 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{D. S. Freed}, Commun. Math. Phys. 106, 159--176 (1986; Zbl 0657.58037) Full Text: DOI OpenURL
Hara, Tamio On Wall manifolds with (\(\epsilon\) )-free involutions. (English) Zbl 0622.57023 Publ. Res. Inst. Math. Sci. 22, 571-582 (1986). Reviewer: K.Komiya MSC: 57R85 57R15 57S17 PDF BibTeX XML Cite \textit{T. Hara}, Publ. Res. Inst. Math. Sci. 22, 571--582 (1986; Zbl 0622.57023) Full Text: DOI OpenURL
Pressley, Andrew; Segal, Graeme Loop groups. (English) Zbl 0618.22011 Oxford Mathematical Monographs. Oxford: Clarendon Press. VIII, 318 p. £40.00 (1986). Reviewer: S.I.Gel’fand MSC: 22E65 17B67 22-02 46M20 14M15 43A85 32M10 PDF BibTeX XML OpenURL
Freed, Daniel S. Determinants, torsion, and strings. (English) Zbl 0606.58013 Commun. Math. Phys. 107, 483-513 (1986). Reviewer: B.Xanthopoulos MSC: 58D30 81T99 53C80 PDF BibTeX XML Cite \textit{D. S. Freed}, Commun. Math. Phys. 107, 483--513 (1986; Zbl 0606.58013) Full Text: DOI Backlinks: MO OpenURL
Quillen, Daniel Determinants of Cauchy-Riemann operators on a Riemann surface. (English. Russian original) Zbl 0603.32016 Funct. Anal. Appl. 19, 31-34 (1985); translation from Funkts. Anal. Prilozh. 19, No. 1, 37-41 (1985). MSC: 32F99 58J99 30F10 PDF BibTeX XML Cite \textit{D. Quillen}, Funct. Anal. Appl. 19, 31--34 (1985; Zbl 0603.32016); translation from Funkts. Anal. Prilozh. 19, No. 1, 37--41 (1985) Full Text: DOI OpenURL