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1
M Aït Nouh ,
Genera
and degrees of torus knots in ℂ P 2 , J. Knot Theory Ramifications 18
(2009) 1299 MR2569563
2
S Behrens , B
Kalmár , M H Kim , M Powell , A Ray ,
editors, The disc
embedding theorem , Oxford Univ. Press (2021) MR4519498
3
A J Casson ,
Three lectures on new-infinite constructions in 4 –dimensional manifolds , from: "À la
recherche de la topologie perdue" (editors L Guillou, A Marin),
Progr. Math. 62, Birkhäuser (1986) 201 MR0900253
4
T D Cochran , A
Ray , Shake slice and shake
concordant knots , J. Topol. 9 (2016) 861 MR3551841
5
T D Cochran ,
K E Orr , P Teichner , Knot concordance,
Whitney towers and L 2 –signatures , Ann. of Math. 157
(2003) 433 MR1973052
6
J Conant , R
Schneiderman , P Teichner , Universal quadratic
forms and Whitney tower intersection invariants , from:
"Proceedings of the Freedman Fest" (editors R Kirby, V
Krushkal, Z Wang), Geom. Topol. Monogr. 18, Geom. Topol. Publ.
(2012) 35 MR3084231
7
J Conant , R
Schneiderman , P Teichner , Whitney tower
concordance of classical links , Geom. Topol. 16 (2012)
1419 MR2967057
8
J Conant , R
Schneiderman , P Teichner , Milnor invariants and
twisted Whitney towers , J. Topol. 7 (2014) 187 MR3180617
9
R Connelly ,
A new proof of
Brown’s collaring theorem , Proc. Amer. Math. Soc. 27
(1971) 180 MR0267588
10
P Feller , A N
Miller , M Nagel , P Orson , M Powell ,
A Ray , Embedding spheres
in knot traces , Compos. Math. 157 (2021) 2242 MR4328000
11
M H Freedman ,
The
topology of four-dimensional manifolds , J. Differential
Geom. 17 (1982) 357 MR0679066
12
M Freedman , R
Kirby , A geometric proof of Rochlin’s theorem , from:
"Algebraic and geometric topology, II" (editor R J
Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978)
85 MR0520525
13
M H Freedman ,
F Quinn , Topology of
4 –manifolds , 39, Princeton
Univ. Press (1990) MR1201584
14
P M Gilmer ,
Configurations of
surfaces in 4 –manifolds ,
Trans. Amer. Math. Soc. 264 (1981) 353 MR603768
15
M Golubitsky , V
Guillemin , Stable mappings and
their singularities , 14, Springer (1973) MR0341518
16
L Guillou , A
Marin , Une extension d’un théorème de Rohlin sur la
signature , from: "Seminar on real algebraic geometry"
(editor J J Risler), Publ. Math. Univ. Paris VII 9, Univ.
Paris VII (1980) 69 MR0700837
17
I Hambleton , M
Kreck , Cancellation of
hyperbolic forms and topological four-manifolds , J.
Reine Angew. Math. 443 (1993) 21 MR1241127
18
M W Hirsch ,
Differential
topology , 33, Springer (1976) MR0448362
19
D Kasprowski , M
Land , M Powell , P Teichner , Stable classification of
4 –manifolds with 3 –manifold fundamental groups , J.
Topol. 10 (2017) 827 MR3797598
20
D Kasprowski , M
Powell , P Teichner , Algebraic criteria for stable
diffeomorphism of spin 4 –manifolds , preprint (2020) arXiv:2006.06127
21
D Kasprowski , P
Lambert-Cole , M Land , A G Lecuona ,
Topologically
flat embedded 2 –spheres in specific
simply connected 4 –manifolds , from: "2019–20 MATRIX
annals" (editors D R Wood, J de Gier, C E Praeger, T
Tao), MATRIX Book Ser. 4, Springer (2021) 111 MR4294763
22
D Kasprowski , M
Powell , P Teichner , The Kervaire–Milnor invariant
in the stable classification of spin 4 –manifolds , preprint (2021) arXiv:2105.12153
23
M H Kim , P
Orson , J Park , A Ray , Good
groups , from: "The disc embedding theorem" (editors S
Behrens, B Kalmár, M H Kim, M Powell, A Ray), Oxford Univ.
Press (2021) 273 MR4519517
24
R C Kirby ,
L R Taylor , A survey of
4 –manifolds through the eyes of
surgery , from: "Surveys on surgery theory, II" (editors
S Cappell, A Ranicki, J Rosenberg), Ann. of Math. Stud. 149,
Princeton Univ. Press (2001) 387 MR1818779
25
V S Krushkal ,
F Quinn , Subexponential groups
in 4 –manifold topology ,
Geom. Topol. 4 (2000) 407 MR1796498
26
R Lee , D M
Wilczyński , Locally flat 2 –spheres in simply connected 4 –manifolds , Comment. Math. Helv. 65
(1990) 388 MR1069816
27
R Lee , D M
Wilczyński , Representing homology
classes by locally flat surfaces of minimum genus ,
Amer. J. Math. 119 (1997) 1119 MR1473071
28
P Lisca , G
Matić , Stein
4 –manifolds with boundary and
contact structures , Topology Appl. 88 (1998) 55
MR1634563
29
C Manolescu , M
Marengon , L Piccirillo , Relative genus
bounds in indefinite four-manifolds , Math. Ann.
(2024)
30
M Marengon ,
A N Miller , A Ray , A I Stipsicz ,
A note on
surfaces in ℂℙ 2 and ℂℙ 2
# ℂℙ 2 , Proc. Amer. Math. Soc. Ser. B
11 (2024) 187
31
W S Massey ,
Proof of a
conjecture of Whitney , Pacific J. Math. 31 (1969) 143
MR0250331
32
Y Matsumoto ,
Secondary intersectional properties of 4 –manifolds and Whitney’s trick , from:
"Algebraic and geometric topology, II" (editor R J
Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978)
99 MR0520526
33
Y Matsumoto ,
An elementary
proof of Rochlin’s signature theorem and its extension by
Guillou and Marin , from: "À la recherche de la
topologie perdue" (editors L Guillou, A Marin), Progr. Math.
62, Birkhäuser (1986) 119 MR0900248
34
R A Norman ,
Dehn’s lemma
for certain 4 –manifolds ,
Invent. Math. 7 (1969) 143 MR246309
35
J Pichelmeyer ,
Genera
of knots in the complex projective plane , J. Knot
Theory Ramifications 29 (2020) 2050081 MR4193876
36
M Powell , A
Ray , Basic
geometric constructions , from: "The disc embedding
theorem" (editors S Behrens, B Kalmár, M H Kim, M Powell,
A Ray), Oxford Univ. Press (2021) 217 MR4519513
37
M Powell , A
Ray , Intersection
numbers and the statement of the disc embedding
theorem , from: "The disc embedding theorem" (editors S
Behrens, B Kalmár, M H Kim, M Powell, A Ray), Oxford Univ.
Press (2021) 155 MR4519509
38
M Powell , A
Ray , P Teichner , The 4 –dimensional disc embedding theorem and dual
spheres , preprint (2020) arXiv:2006.05209
39
F Quinn , Ends of maps,
III : Dimensions 4 and 5 , J. Differential Geom. 17 (1982) 503
MR0679069
40
V A Rokhlin ,
New results in the theory of four-dimensional manifolds ,
Doklady Akad. Nauk SSSR 84 (1952) 221 MR0052101
41
V A Rokhlin ,
Proof of
Gudkov’s hypothesis , Funct. Anal. Appl. 6 (1972)
136
42
R Schneiderman ,
Algebraic
linking numbers of knots in 3 –manifolds , Algebr. Geom. Topol. 3
(2003) 921 MR2012959
43
R Stong , Existence of π 1 –negligible embeddings in 4 –manifolds : a correction to Theorem 10.5 of
FQ , Proc. Amer. Math. Soc. 120 (1994) 1309 MR1215031
44
A G Tristram ,
Some
cobordism invariants for links , Proc. Cambridge Philos.
Soc. 66 (1969) 251 MR0248854
45
O Y Viro ,
Positioning in
codimension 2 , and the
boundary , Uspehi Mat. Nauk 30 (1975) 231 MR420641
46
C T C Wall ,
Surgery on compact manifolds , 1, Academic (1970)
MR431216
47
A Yasuhara ,
(2 , 15) –torus knot is not slice in ℂ P 2 , Proc. Japan Acad. Ser. A Math.
Sci. 67 (1991) 353 MR1151354
48
A Yasuhara ,
On slice knots in the complex projective plane , Rev.
Mat. Univ. Complut. Madrid 5 (1992) 255 MR1195083