Algebraic & Geometric Topology Volume 14, issue 3 (2014)

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The multiplicativity of fixed point invariants

Kate Ponto and Michael Shulman

Algebraic & Geometric Topology 14 (2014) 1275–1306

DOI: 10.2140/agt.2014.14.1275

Bibliography

1	M F Atiyah, Thom complexes, Proceedings London Math. Soc. 11 (1961) 291 MR0131880
2	R F Brown, The Nielsen number of a fibre map, Ann. of Math. 85 (1967) 483 MR0212799
3	R F Brown, The Lefschetz fixed point theorem, Scott, Foresman and Co (1971) MR0283793
4	R F Brown, E R Fadell, Corrections to: “The Nielsen number of a fibre map”, Ann. of Math. 95 (1972) 365 MR0317325
5	M G Citterio, The Reidemeister number as a homotopy equalizer, Rend. Mat. Appl. 18 (1998) 87 MR1638191
6	S R Costenoble, S Waner, Equivariant ordinary homology and cohomology, arXiv:math.AT/0310237
7	A Dold, D Puppe, Duality, trace, and transfer, from: "Proceedings of the International Conference on Geometric Topology" (editor K Borsuk), PWN (1980) 81 MR656721
8	P R Heath, Fibre techniques in Nielsen theory calculations, from: "Handbook of topological fixed point theory" (editors R F Brown, M Furi, L Górniewicz, B Jiang), Springer (2005) 489 MR2171116
9	P R Heath, E Keppelmann, P N S Wong, Addition formulae for Nielsen numbers and for Nielsen type numbers of fibre preserving maps, Topology Appl. 67 (1995) 133 MR1362079
10	P R Heath, C Morgan, R Piccinini, Nielsen numbers and pullbacks, Topology Appl. 26 (1987) 65 MR893804
11	S Y Husseini, Generalized Lefschetz numbers, Trans. Amer. Math. Soc. 272 (1982) 247 MR656489
12	B J Jiang, Lectures on Nielsen fixed point theory, Contemporary Mathematics 14, Amer. Math. Soc. (1983) MR685755
13	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics 1213, Springer (1986) MR866482
14	J P May, J Sigurdsson, Parametrized homotopy theory, Mathematical Surveys and Monographs 132, Amer. Math. Soc. (2006) MR2271789
15	B E Norton-Odenthal, A product formula of the generalized Lefschetz number, PhD thesis, The University of Wisconsin-Madison (1991)
16	J Pak, On the fixed point indices and Nielsen numbers of fiber maps on Jiang spaces, Trans. Amer. Math. Soc. 212 (1975) 403 MR0420602
17	K Ponto, Coincidence invariants and higher Reidemeister traces, arXiv:1209.3710
18	K Ponto, Fixed point theory and trace for bicategories, Astérisque 333, Soc. Math. France (2010) MR2741967
19	K Ponto, M Shulman, Traces in symmetric monoidal categories, to appear in Expositiones Mathematicae
20	K Ponto, M Shulman, Duality and traces for indexed monoidal categories, Theory Appl. Categ. 26 (2012) 582 MR3065938
21	K Ponto, M Shulman, Shadows and traces in bicategories, J. Homotopy Relat. Struct. 8 (2013) 151 MR3095324
22	M Shulman, Framed bicategories and monoidal fibrations, Theory Appl. Categ. 20 (2008) 650 MR2534210
23	C Y You, Fixed point classes of a fiber map, Pacific J. Math. 100 (1982) 217 MR661450