Volume 20, issue 4 (2016)

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Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch and Wojciech Dorabiała

Geometry & Topology 20 (2016) 1807–1857
Bibliography
1 B Badzioch, W Dorabiała, J R Klein, B Williams, Equivalence of higher torsion invariants, Adv. Math. 226 (2011) 2192 MR2739777
2 B Badzioch, W Dorabiała, B Williams, Smooth parametrized torsion: a manifold approach, Adv. Math. 221 (2009) 660 MR2508934
3 J M Bismut, J Lott, Flat vector bundles, direct images and higher real analytic torsion, J. Amer. Math. Soc. 8 (1995) 291 MR1303026
4 A J Blumberg, M A Mandell, Algebraic K–theory and abstract homotopy theory, Adv. Math. 226 (2011) 3760 MR2764905
5 E H Brown Jr., Twisted tensor products, I, Ann. of Math. 69 (1959) 223 MR0105687
6 U Bunke, On the functoriality of Lott’s secondary analytic index, K–Theory 25 (2002) 51 MR1899699
7 W Dwyer, M Weiss, B Williams, A parametrized index theorem for the algebraic K–theory Euler class, Acta Math. 190 (2003) 1 MR1982793
8 D R Grayson, The additivity theorem in algebraic K–theory, Doc. Math. 16 (2011) 457 MR2823366
9 K Igusa, Parametrized Morse theory and its applications, from: "Proceedings of the International Congress of Mathematicians" (editor I Satake), Math. Soc. Japan (1991) 643 MR1159251
10 K Igusa, Higher Franz–Reidemeister torsion, 31, Amer. Math. Soc. (2002) MR1945530
11 K Igusa, Axioms for higher torsion invariants of smooth bundles, J. Topol. 1 (2008) 159 MR2365656
12 K Igusa, Twisting cochains and higher torsion, J. Homotopy Relat. Struct. 6 (2011) 213 MR2846735
13 J R Klein, Higher Reidemeister torsion and parametrized Morse theory, from: "Proceedings of the Winter School ‘Geometry and Physics’ " (editors J Bureš, V Souček) (1993) 15 MR1246615
14 J R Klein, B Williams, The refined transfer, bundle structures, and algebraic K–theory, J. Topol. 2 (2009) 321 MR2529299
15 L Lambe, J Stasheff, Applications of perturbation theory to iterated fibrations, Manuscripta Math. 58 (1987) 363 MR893160
16 J Lott, Secondary analytic indices, from: "Regulators in analysis, geometry and number theory" (editors A Reznikov, N Schappacher), Progr. Math. 171, Birkhäuser (2000) 231 MR1724894
17 X Ma, Functoriality of real analytic torsion forms, Israel J. Math. 131 (2002) 1 MR1942300
18 F P Peterson, E Thomas, A note on non-stable cohomology operations, Bol. Soc. Mat. Mexicana 3 (1958) 13 MR0105680
19 F Waldhausen, Algebraic K–theory of spaces, a manifold approach, from: "Current trends in algebraic topology, 1" (editors R M Kane, S O Kochman, P S Selick, V P Snaith), CMS Conf. Proc. 2, Amer. Math. Soc. (1982) 141 MR686115
20 F Waldhausen, Algebraic K–theory of spaces, from: "Algebraic and geometric topology" (editors A Ranicki, N Levitt, F Quinn), Lecture Notes in Math. 1126, Springer (1985) 318 MR802796
21 F Waldhausen, Algebraic K–theory of spaces, concordance, and stable homotopy theory, from: "Algebraic topology and algebraic K–theory" (editor W Browder), Ann. of Math. Stud. 113, Princeton Univ. Press (1987) 392 MR921486
22 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324