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1
J F Adams ,
Stable homotopy and generalised homology , Univ. of
Chicago Press (1974) MR0402720
2
D Arlettaz ,
The order of
the differentials in the Atiyah–Hirzebruch spectral
sequence , K-Theory 6 (1992) 347 MR1193149
3
M F Atiyah , F
Hirzebruch , Vector bundles and homogeneous spaces ,
from: "Differential Geometry" (editor C B Allendoerfer),
Proc. Sympos. Pure Math. 3, Amer. Math. Soc. (1961) 7 MR0139181
4
M F Atiyah , F
Hirzebruch , Analytic cycles
on complex manifolds , Topology 1 (1962) 25 MR0145560
5
N A Baas ,
B I Dundas , J Rognes , Two-vector
bundles and forms of elliptic cohomology , from:
"Topology, geometry and quantum field theory" (editor U
Tillmann), London Math. Soc. Lecture Note Ser. 308, Cambridge
Univ. Press (2004) 18 MR2079370
6
A Björner ,
Topological methods , from: "Handbook of combinatorics,
II" (editors R L Graham, M Grötschel, L Lovász), Elsevier
Sci. B. V. (1995) 1819 MR1373690
7
R Bott , L W
Tu , Differential forms
in algebraic topology , 82, Springer (1982) MR658304
8
A K Bousfield ,
The
localization of spectra with respect to homology ,
Topology 18 (1979) 257 MR551009
9
J Brodzki , V
Mathai , J Rosenberg , R J Szabo ,
D-branes, RR-fields
and duality on noncommutative manifolds , Comm. Math.
Phys. 277 (2008) 643 MR2365448
10
K S Brown ,
Abstract homotopy
theory and generalized sheaf cohomology , Trans. Amer.
Math. Soc. 186 (1973) 419 MR0341469
11
J L Brylinski ,
Loop
spaces, characteristic classes and geometric
quantization , 107, Birkhäuser (1993) MR1197353
12
L Buhné , Properties
of integral Morava K-theory and the asserted application to the
Diaconescu–Moore–Witten anomaly , PhD thesis, Hamburg Univ.
(2011)
13
U Bunke ,
Differential cohomology , preprint (2012) arXiv:1208.3961
14
U Bunke , M
Kreck , T Schick , A geometric description of
differential cohomology , Ann. Math. Blaise Pascal 17
(2010) 1 MR2674652
15
U Bunke , T
Nikolaus , Twisted differential cohomology , preprint
(2014) arXiv:1406.3231
16
U Bunke , T
Nikolaus , M Völkl , Differential
cohomology theories as sheaves of spectra , J. Homotopy
Relat. Struct. 11 (2016) 1 MR3462099
17
U Bunke , T
Schick , Smooth K-theory , Astérisque 328, Soc. Math.
France (2009) 45 MR2664467
18
U Bunke , T
Schick , Uniqueness of smooth
extensions of generalized cohomology theories , J.
Topol. 3 (2010) 110 MR2608479
19
A L Carey , S
Johnson , M K Murray , Holonomy on
D-branes , J. Geom. Phys. 52 (2004) 186 MR2088975
20
J Cheeger , J
Simons , Differential characters
and geometric invariants , from: "Geometry and topology"
(editors J Alexander, J Harer), Lecture Notes in Math. 1167,
Springer (1985) 50 MR827262
21
D E Diaconescu ,
G Moore , E Witten , E 8 gauge
theory, and a derivation of K-theory from M-theory ,
Adv. Theor. Math. Phys. 6 (2002) 1031 MR1982693
22
D Dugger , Combinatorial model
categories have presentations , Adv. Math. 164 (2001)
177 MR1870516
23
J L Dupont , R
Ljungmann , Integration of
simplicial forms and Deligne cohomology , Math. Scand.
97 (2005) 11 MR2179587
24
H Esnault , E
Viehweg , Lectures on
vanishing theorems , 20, Birkhäuser (1992) MR1193913
25
D Fiorenza , U
Schreiber , J Stasheff , Čech cocycles for
differential characteristic classes : an ∞ –Lie theoretic construction , Adv.
Theor. Math. Phys. 16 (2012) 149 MR3019405
26
A T Fomenko ,
D B Fuchs , V L Gutenmacher ,
Homotopic topology , Akadémiai Kiadó (1986) 310 MR873943
27
D S Freed ,
Dirac
charge quantization and generalized differential
cohomology , from: "Surveys in differential geometry"
(editor S T Yau), Surv. Differ. Geom. 7, International
Press (2000) 129 MR1919425
28
D S Freed , J
Lott , An index theorem in
differential K-theory , Geom. Topol. 14 (2010) 903
MR2602854
29
D S Freed , E
Witten , Anomalies in string
theory with D-branes , Asian J. Math. 3 (1999) 819
MR1797580
30
P Gajer , Geometry of Deligne
cohomology , Invent. Math. 127 (1997) 155 MR1423029
31
A Gorokhovsky , J
Lott , A Hilbert bundle description of differential
K-theory , preprint (2015) arXiv:1512.07185
32
D Grady , H
Sati , AHSS for twisted differential spectra , in
preparation
33
D Grady , H
Sati , Primary operations in differential cohomology ,
preprint (2016) arXiv:1604.05988
34
D Grady , H
Sati , Massey products in
differential cohomology via stacks , J. Homotopy Relat.
Struct. (2017)
35
P A Griffiths ,
J W Morgan , Rational homotopy
theory and differential forms , 16, Birkhäuser (1981)
MR641551
36
A Hatcher , Algebraic
topology , Cambridge Univ. Press (2002) MR1867354
37
P Hekmati , M K
Murray , V S Schlegel , R F Vozzo ,
A
geometric model for odd differential K-theory ,
Differential Geom. Appl. 40 (2015) 123 MR3333100
38
P Hilton , General
cohomology theory and K-theory , 1, Cambridge Univ. Press
(1971) MR0288757
39
M H Ho ,
The
differential analytic index in Simons–Sullivan differential
K-theory , Ann. Global Anal. Geom. 42 (2012) 523
MR2995203
40
M H Ho ,
Remarks on flat
and differential K-theory , Ann. Math. Blaise Pascal 21
(2014) 91 MR3248223
41
M J Hopkins ,
I M Singer , Quadratic functions in
geometry, topology, and M-theory , J. Differential Geom.
70 (2005) 329 MR2192936
42
D Husemöller , M
Joachim , B Jurčo , M Schottenloher ,
Basic
bundle theory and K-cohomology invariants , 726,
Springer (2008) MR2377868
43
J F Jardine ,
Stable
homotopy theory of simplicial presheaves , Canad. J.
Math. 39 (1987) 733 MR905753
44
J F Jardine ,
Local
homotopy theory , Springer (2015) MR3309296
45
M Karoubi ,
Homologie cyclique et K-théorie , 149, Soc. Math. France
(1987) 147 MR913964
46
K R Klonoff ,
An
index theorem in differential K-theory , PhD thesis, The
University of Texas at Austin (2008) MR2711943
47
I Kriz , H Sati ,
M-theory, type IIA
superstrings, and elliptic cohomology , Adv. Theor.
Math. Phys. 8 (2004) 345 MR2086925
48
J A Lind , H
Sati , C Westerland , A higher categorical analogue
of topological T-duality for sphere bundles , preprint
(2016) arXiv:1601.06285
49
J Lott , R∕Z index theory , Comm. Anal. Geom. 2
(1994) 279 MR1312690
50
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
51
J Lurie , Higher
algebra , prepublication book draft (2011)
52
C R F
Maunder , The spectral
sequence of an extraordinary cohomology theory , Proc.
Cambridge Philos. Soc. 59 (1963) 567 MR0150765
53
J P May , J
Sigurdsson , Parametrized homotopy
theory , 132, Amer. Math. Soc. (2006) MR2271789
54
J McCleary , A
user’s guide to spectral sequences , 58, Cambridge Univ.
Press (2001) MR1793722
55
H R Miller ,
On
relations between Adams spectral sequences, with an application
to the stable homotopy of a Moore space , J. Pure Appl.
Algebra 20 (1981) 287 MR604321
56
R Minasian , G
Moore , K-theory and
Ramond–Ramond charge , J. High Energy Phys. (1997)
MR1606278
57
V V Prasolov ,
Elements of
combinatorial and differential topology , 74, Amer.
Math. Soc. (2006) MR2233951
58
D C Ravenel ,
Localization with
respect to certain periodic homology theories , Amer. J.
Math. 106 (1984) 351 MR737778
59
Y B Rudyak ,
On Thom
spectra, orientability, and cobordism , Springer (1998)
MR1627486
60
H Sati , Geometric and
topological structures related to M-branes , from:
"Superstrings, geometry, topology, and C ∗ –algebras" (editors R S Doran, G
Friedman, J Rosenberg), Proc. Sympos. Pure Math. 81, Amer.
Math. Soc. (2010) 181 MR2681765
61
H Sati , U
Schreiber , J Stasheff , Twisted
differential string and fivebrane structures , Comm.
Math. Phys. 315 (2012) 169 MR2966944
62
H Sati , C
Westerland , Twisted Morava K-theory
and E-theory , J. Topol. 8 (2015) 887 MR3431663
63
U Schreiber ,
Differential cohomology in a cohesive infinity-topos ,
preprint (2013) arXiv:1310.7930
64
S Schwede , Symmetric
spectra , unpublished manuscript (2012)
65
B Shipley , H ℤ –algebra
spectra are differential graded algebras , Amer. J.
Math. 129 (2007) 351 MR2306038
66
J Simons , D
Sullivan , Axiomatic
characterization of ordinary differential cohomology ,
J. Topol. 1 (2008) 45 MR2365651
67
R M Switzer ,
Algebraic topology — homotopy and homology , 212,
Springer (1975) MR0385836
68
H Tamanoi , 𝒬 –subalgebras, Milnor basis, and cohomology of
Eilenberg–Mac Lane spaces , J. Pure Appl. Algebra 137
(1999) 153 MR1684268
69
T Tradler , S O
Wilson , M Zeinalian , An elementary
differential extension of odd K-theory , J. K-Theory 12
(2013) 331 MR3142366
70
T Tradler , S O
Wilson , M Zeinalian , Differential
K-theory as equivalence classes of maps to Grassmannians and
unitary groups , New York J. Math. 22 (2016) 527
MR3522131
71
M Upmeier , Algebraic structure
and integration maps in cocycle models for differential
cohomology , Algebr. Geom. Topol. 15 (2015) 65 MR3325732
72
N Yagita , On the Steenrod
algebra of Morava K-theory , J. London Math. Soc. 22
(1980) 423 MR596321