Burghelea, Dan Cyclic theory for commutative differential graded algebras and \(S\)-cohomology. (English) Zbl 1269.57010 Blanchard, Etienne (ed.) et al., Quanta of maths. Conference on non commutative geometry in honor of Alain Connes, Paris, France, March 29–April 6, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5203-3/pbk). Clay Mathematics Proceedings 11, 85-105 (2010). MSC: 57R19 55P50 55P62 16E45 16E40 19D55 PDFBibTeX XMLCite \textit{D. Burghelea}, Clay Math. Proc. 11, 85--105 (2010; Zbl 1269.57010) Full Text: arXiv
Burghelea, Dan; Haller, Stefan Complex valued Ray-Singer torsion II. (English) Zbl 1208.58029 Math. Nachr. 283, No. 10, 1372-1402 (2010). MSC: 58J52 57R20 57Q10 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{S. Haller}, Math. Nachr. 283, No. 10, 1372--1402 (2010; Zbl 1208.58029) Full Text: DOI arXiv
Burghelea, Dan; Haller, Stefan Dynamics, Laplace transform and spectral geometry. (English) Zbl 1156.57022 J. Topol. 1, No. 1, 115-151 (2008). Reviewer: Weiping Li (Stillwater) MSC: 57R20 57R58 57R70 57Q10 58J52 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{S. Haller}, J. Topol. 1, No. 1, 115--151 (2008; Zbl 1156.57022) Full Text: DOI arXiv
Burghelea, Dan; Haller, Stefan Complex-valued Ray-Singer torsion. (English) Zbl 1131.58020 J. Funct. Anal. 248, No. 1, 27-78 (2007). Reviewer: Sebastian Goette (Freiburg) MSC: 58J52 57Q10 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{S. Haller}, J. Funct. Anal. 248, No. 1, 27--78 (2007; Zbl 1131.58020) Full Text: DOI arXiv
Burghelea, Dan; Haller, Stefan Euler structures, the variety of representations and the Milnor-Turaev torsion. (English) Zbl 1204.58027 Geom. Topol. 10, 1185-1238 (2006). MSC: 58J52 57Q10 58J28 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{S. Haller}, Geom. Topol. 10, 1185--1238 (2006; Zbl 1204.58027) Full Text: DOI arXiv
Burghelea, Dan; Haller, Stefan Laplace transform, dynamics and spectral geometry. arXiv:math/0405037 Preprint, arXiv:math/0405037 [math.DG] (2004). MSC: 57R20 57R58 57R70 57Q10 58J52 BibTeX Cite \textit{D. Burghelea} and \textit{S. Haller}, ``Laplace transform, dynamics and spectral geometry'', Preprint, arXiv:math/0405037 [math.DG] (2004) Full Text: arXiv
Burghelea, Dan; Saldanha, Nicolau C.; Tomei, Carlos Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm–Liouville operators. (English) Zbl 1025.34023 J. Differ. Equations 188, No. 2, 569-590 (2003). Reviewer: Miloslav Znojil (Řež) MSC: 34B24 34L30 58B05 34B15 46T05 PDFBibTeX XMLCite \textit{D. Burghelea} et al., J. Differ. Equations 188, No. 2, 569--590 (2003; Zbl 1025.34023) Full Text: DOI arXiv
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas Relative torsion. (English) Zbl 0994.58018 Commun. Contemp. Math. 3, No. 1, 15-85 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 58J52 57Q10 PDFBibTeX XMLCite \textit{D. Burghelea} et al., Commun. Contemp. Math. 3, No. 1, 15--85 (2001; Zbl 0994.58018) Full Text: DOI arXiv
Burghelea, Dan; Friedlander, Leonid; Kappeler, Thomas Torsions for manifolds with boundary and glueing formulas. (English) Zbl 0959.58041 Math. Nachr. 208, 31-91 (1999). Reviewer: Ion Mihai (Bucureşti) MSC: 58J52 53C20 58A10 53C55 58A30 57Q10 PDFBibTeX XMLCite \textit{D. Burghelea} et al., Math. Nachr. 208, 31--91 (1999; Zbl 0959.58041) Full Text: DOI arXiv
Burghelea, D.; Friedlander, L.; Kappeler, T. Relative torsion for homotopy triangulations. (English) Zbl 0930.57027 Farber, Michael (ed.) et al., Tel Aviv topology conference: Rothenberg Festschrift. Proceedings of the international conference on topology, Tel Aviv, Israel, June 1–5, 1998 dedicated to Mel Rothenberg on the occasion of his 65th birthday. Providence, RI: American Mathematical Society. Contemp. Math. 231, 37-57 (1999). Reviewer: W.Heil (Tallahassee) MSC: 57Q10 57R22 46L99 58J99 PDFBibTeX XMLCite \textit{D. Burghelea} et al., Contemp. Math. 231, 37--57 (1999; Zbl 0930.57027)
Burghelea, D.; Friedlander, L.; Kappeler, T.; McDonald, P. Analytic and Reidemeister torsion for representations in finite type Hilbert modules. (English) Zbl 0874.57025 Geom. Funct. Anal. 6, No. 5, 751-859 (1996). Reviewer: W.Lück (Münster) MSC: 57Q10 58J52 46L99 PDFBibTeX XMLCite \textit{D. Burghelea} et al., Geom. Funct. Anal. 6, No. 5, 751--859 (1996; Zbl 0874.57025) Full Text: DOI arXiv EuDML
Burghelea, D.; Friedlander, L.; Kappeler, T. Asymptotic expansion of the Witten deformation of the analytic torsion. (English) Zbl 0858.57029 J. Funct. Anal. 137, No. 2, 320-363 (1996). Reviewer: W.Lück (Münster) MSC: 57Q10 58J52 PDFBibTeX XMLCite \textit{D. Burghelea} et al., J. Funct. Anal. 137, No. 2, 320--363 (1996; Zbl 0858.57029) Full Text: DOI Link
Burghelea, D.; Fiedorowicz, Z.; Gajda, W. Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces. (English) Zbl 0726.55007 \(K\)-Theory 4, No. 3, 269-287 (1991). Reviewer: D.H.Gottlieb (Lafayette) MSC: 55P62 55P35 46L85 46L87 PDFBibTeX XMLCite \textit{D. Burghelea} et al., \(K\)-Theory 4, No. 3, 269--287 (1991; Zbl 0726.55007) Full Text: DOI
Burghelea, D. The free loop space. I: Algebraic topology. (English) Zbl 0689.55016 Algebraic topology, Proc. Int. Conf., Evanston/IL 1988, Contemp. Math. 96, 59-85 (1989). Reviewer: J.C.Thomas MSC: 55R20 55N35 PDFBibTeX XML
Burghelea, D.; Fiedorowicz, Z. Cyclic homology and algebraic K-theory of spaces. II. (English) Zbl 0639.55003 Topology 25, 303-317 (1986). Reviewer: R.Schwänzl MSC: 55N20 18F25 55N35 57R52 55U10 55P62 55P35 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{Z. Fiedorowicz}, Topology 25, 303--317 (1986; Zbl 0639.55003) Full Text: DOI
Burghelea, Dan Cyclic homology and the algebraic K-theory of spaces. I. (English) Zbl 0615.55009 Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, 89-115 (1986). Reviewer: R.Schwänzl MSC: 55N99 18F25 55P62 55P10 PDFBibTeX XML
Burghelea, D.; Fiedorowicz, Z. Hermitian algebraic K-theory of simplicial rings and topological spaces. (English) Zbl 0597.18006 J. Math. Pures Appl., IX. Sér. 64, 175-235 (1985). Reviewer: P.J.Kahn MSC: 18F25 57N99 55N15 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{Z. Fiedorowicz}, J. Math. Pures Appl. (9) 64, 175--235 (1985; Zbl 0597.18006)
Vigué-Poirrier, Micheline; Burghelea, Dan A model for cyclic homology and algebraic K-theory of 1-connected topological spaces. (English) Zbl 0595.55009 J. Differ. Geom. 22, 243-253 (1985). Reviewer: St.Papadima MSC: 55P62 18F25 55N91 55P45 PDFBibTeX XMLCite \textit{M. Vigué-Poirrier} and \textit{D. Burghelea}, J. Differ. Geom. 22, 243--253 (1985; Zbl 0595.55009) Full Text: DOI
Burghelea, D. Rational homotopy theory, group actions and algebraic K-theory of topological spaces. (English) Zbl 0549.55010 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 60-86 (1984). Reviewer: R.E.Stong MSC: 55P62 57S20 55N15 57R50 18F25 58D05 PDFBibTeX XML
Burghelea, D.; Lashof, R. Geometric transfer and the homotopy type of the automorphism groups of a manifold. (English) Zbl 0489.57008 Trans. Am. Math. Soc. 269, 1-38 (1982). MSC: 57R99 57R50 58D05 57T20 57Q60 57N70 18F25 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{R. Lashof}, Trans. Am. Math. Soc. 269, 1--38 (1982; Zbl 0489.57008) Full Text: DOI
Burghelea, D. The rational homotopy groups of Diff(\(M\)) and Homeo(\(M^n\)) in the stability range. (English) Zbl 0421.58008 Algebraic topology, Proc. Symp., Aarhus 1978, Lect. Notes Math. 763, 604-626 (1979). MSC: 58D05 57R50 55P60 55P62 55Q52 18F25 PDFBibTeX XML
Burghelea, Dan Some rational computations of the Waldhausen algebraic K theory. (English) Zbl 0413.57024 Comment. Math. Helv. 54, 185-198 (1979). MSC: 57R50 18F25 55P62 57Q10 58D05 PDFBibTeX XMLCite \textit{D. Burghelea}, Comment. Math. Helv. 54, 185--198 (1979; Zbl 0413.57024) Full Text: DOI EuDML
Burghelea, Dan Automorphisms of manifolds. (English) Zbl 0402.57033 Algebr. geom. Topol., Stanford/Calif. 1976, Proc. Symp. Pure Math., Vol. 32, Part 1, 347-371 (1978). MSC: 57R99 57-02 57R60 57R65 57R42 57S05 57N35 57Q10 57Q35 PDFBibTeX XML
Burghelea, Dan On the decomposition of the automorphisms-group of \(M\times S^1\). (English) Zbl 0408.58016 Rev. Roum. Math. Pures Appl. 22, 17-30 (1977). MSC: 58D05 18G30 57S05 PDFBibTeX XMLCite \textit{D. Burghelea}, Rev. Roum. Math. Pures Appl. 22, 17--30 (1977; Zbl 0408.58016)
Burghelea, D.; Lashof, R. Stability of concordances and the suspension homomorphism. (English) Zbl 0393.55009 Ann. Math. (2) 105, 449-472 (1977). MSC: 55P40 55P45 57N65 57Q35 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{R. Lashof}, Ann. Math. (2) 105, 449--472 (1977; Zbl 0393.55009) Full Text: DOI
Burghelea, D. The structure of block-automorphisms of \(M\times S^1\). (English) Zbl 0344.57003 Topology 16, 65-78 (1977). MSC: 57N65 55P15 57R80 PDFBibTeX XMLCite \textit{D. Burghelea}, Topology 16, 65--78 (1977; Zbl 0344.57003) Full Text: DOI
Burghelea, Dan; Lashof, Richard; Rothenberg, Melvin Groups of automorphisms of manifolds. With an appendix by E. Peders en. (English) Zbl 0307.57013 Lecture Notes in Mathematics. 473. Berlin-Heidelberg-New York: Springer-Verlag. VII, 156 p. DM 18.00 (1975). MSC: 57R50 57-02 57N65 57R05 57T10 55Q05 57R10 58D05 57N99 57R40 57Q35 57R65 57S05 57Q50 PDFBibTeX XML Full Text: DOI
Burghelea, Dan; Lashof, Richard The homotopy type of the space of diffeomorphisms. I, II. (English) Zbl 0296.58003 Trans. Am. Math. Soc. 196, 1-36, 37-50 (1974). MSC: 58D05 57R50 55Q05 57Q35 57R40 57R05 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{R. Lashof}, Trans. Am. Math. Soc. 196, 1--36, 37--50 (1974; Zbl 0296.58003) Full Text: DOI
Burghelea, Dan On the homotopy type of \(\text{Diff}(M^n)\) and connected problems. (English) Zbl 0258.57004 Ann. Inst. Fourier 23, No. 2, 3-17 (1973). MSC: 57R10 55Q99 57S05 58D05 PDFBibTeX XMLCite \textit{D. Burghelea}, Ann. Inst. Fourier 23, No. 2, 3--17 (1973; Zbl 0258.57004) Full Text: DOI Numdam EuDML
Burghelea, Dan Free differentiable S\(^1\) and S\(^3\) actions on homotopy spheres. (English) Zbl 0247.57009 Ann. Sci. Éc. Norm. Supér. (4) 5, 183-215 (1972). MSC: 57S15 57R75 57R60 PDFBibTeX XMLCite \textit{D. Burghelea}, Ann. Sci. Éc. Norm. Supér. (4) 5, 183--215 (1972; Zbl 0247.57009) Full Text: DOI Numdam EuDML
Antonelli, P. L.; Burghelea, D.; Kahn, P. J. The non-finite homotopy type of some diffeomorphism groups. (English) Zbl 0225.57013 Topology 11, 1-49 (1972). MSC: 57R50 55P15 PDFBibTeX XMLCite \textit{P. L. Antonelli} et al., Topology 11, 1--49 (1972; Zbl 0225.57013) Full Text: DOI
Antonelli, Peter L.; Burghelea, Dan; Kahn, Peter J. The concordance-homotopy groups of geometric automorphism groups. (English) Zbl 0222.57001 Lecture Notes in Mathematics. 215. Berlin-Heidelberg-New York: Springer-Verlag 1971. X,140 p. DM 16.00; $ 4.60. (1971). MSC: 57-02 55P15 57N65 57R19 57N70 57Q60 PDFBibTeX XML Full Text: DOI
Antonelli, P. L.; Burghelea, D.; Kahn, P. J. Concordance-homotopy groups and the nonfinite type of some Diff \(_ 0M^ n\). (English) Zbl 0218.57019 Bull. Am. Math. Soc. 77, 719-724 (1971). MSC: 57R50 57Q60 55Q70 PDFBibTeX XMLCite \textit{P. L. Antonelli} et al., Bull. Am. Math. Soc. 77, 719--724 (1971; Zbl 0218.57019) Full Text: DOI
Burghelea, D.; Henderson, D. Smoothings and homeomorphisms for Hilbert manifolds. (English) Zbl 0211.56004 Bull. Am. Math. Soc. 76, 1261-1265 (1970). MSC: 58B05 PDFBibTeX XMLCite \textit{D. Burghelea} and \textit{D. Henderson}, Bull. Am. Math. Soc. 76, 1261--1265 (1970; Zbl 0211.56004) Full Text: DOI