Download this article
 Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Projective twists and the Hopf correspondence

Brunella Charlotte Torricelli

Algebraic & Geometric Topology 24 (2024) 4139–4200
Bibliography
1 M Abouzaid, A topological model for the Fukaya categories of plumbings, J. Differential Geom. 87 (2011) 1 MR2786590
2 M Abouzaid, Framed bordism and Lagrangian embeddings of exotic spheres, Ann. of Math. 175 (2012) 71 MR2874640
3 M Abouzaid, Nearby Lagrangians with vanishing Maslov class are homotopy equivalent, Invent. Math. 189 (2012) 251 MR2947545
4 M Abouzaid, T Kragh, Simple homotopy equivalence of nearby Lagrangians, Acta Math. 220 (2018) 207 MR3849284
5 V I Arnold, Some remarks on symplectic monodromy of Milnor fibrations, from: "The Floer memorial volume" (editors H Hofer, C H Taubes, A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser (1995) 99 MR1362824
6 D Auroux, Monodromy invariants in symplectic topology, preprint (2003) arXiv:math/0304113
7 K Barth, H Geiges, K Zehmisch, The diffeomorphism type of symplectic fillings, J. Symplectic Geom. 17 (2019) 929 MR4031531
8 P Biran, O Cornea, Lagrangian cobordism, I, J. Amer. Math. Soc. 26 (2013) 295 MR3011416
9 P Biran, O Cornea, Lagrangian cobordism and Fukaya categories, Geom. Funct. Anal. 24 (2014) 1731 MR3283928
10 G E Bredon, A Π–module structure for Θ and applications to transformation groups, Ann. of Math. 86 (1967) 434 MR221518
11 J Cerf, La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Inst. Hautes Études Sci. Publ. Math. 39 (1970) 5 MR292089
12 R Chiang, F Ding, O van Koert, Non-fillable invariant contact structures on principal circle bundles and left-handed twists, Internat. J. Math. 27 (2016) MR3474064
13 G Dimitroglou Rizell, J D Evans, Exotic spheres and the topology of symplectomorphism groups, J. Topol. 8 (2015) 586 MR3356772
14 G Dimitroglou Rizell, E Goodman, A Ivrii, Lagrangian isotopy of tori in S2 ×S2 and P2, Geom. Funct. Anal. 26 (2016) 1297 MR3568033
15 T Ekholm, I Smith, Exact Lagrangian immersions with one double point revisited, Math. Ann. 358 (2014) 195 MR3157996
16 T Ekholm, T Kragh, I Smith, Lagrangian exotic spheres, J. Topol. Anal. 8 (2016) 375 MR3509566
17 J D Evans, Lagrangian spheres in del Pezzo surfaces, J. Topol. 3 (2010) 181 MR2608481
18 J D Evans, Symplectic mapping class groups of some Stein and rational surfaces, J. Symplectic Geom. 9 (2011) 45 MR2787361
19 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
20 A Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513 MR965228
21 S Ganatra, J Pardon, V Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publ. Math. Inst. Hautes Études Sci. 131 (2020) 73 MR4106794
22 S Ganatra, J Pardon, V Shende, Sectorial descent for wrapped Fukaya categories, J. Amer. Math. Soc. 37 (2024) 499 MR4695507
23 Y Gao, Functors of wrapped Fukaya categories from Lagrangian correspondences, preprint (2017) arXiv:1712.00225
24 Y Gao, Wrapped Floer cohomology and Lagrangian correspondences, preprint (2017) arXiv:1703.04032
25 Y Groman, J P Solomon, A reverse isoperimetric inequality for J–holomorphic curves, Geom. Funct. Anal. 24 (2014) 1448 MR3261632
26 V Guillemin, S Sternberg, Symplectic techniques in physics, Cambridge Univ. Press (1990) MR1066693
27 R M Harris, Projective twists in 𝒜–infinity categories, preprint (2011) arXiv:1111.0538
28 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
29 A Henriques, The homotopy groups of tmf and of its localizations, from: "Topological modular forms" (editors C L Douglas, J Francis, A G Henriques, M A Hill), Mathematical Surveys and Monographs 201, Amer. Math. Soc. (2014) 189 MR3223024
30 R Hind, Lagrangian unknottedness in Stein surfaces, Asian J. Math. 16 (2012) 1 MR2904911
31 M J Hopkins, M Mahowald, From elliptic curves to homotopy theory, from: "Topological modular forms" (editors C L Douglas, J Francis, A G Henriques, M A Hill), Math. Surveys Monogr. 201, Amer. Math. Soc. (2014) 261 MR3328536
32 W c Hsiang, A note on free differentiable actions of S1 and S3 on homotopy spheres, Ann. of Math. 83 (1966) 266 MR192506
33 D Huybrechts, R Thomas, –objects and autoequivalences of derived categories, Math. Res. Lett. 13 (2006) 87 MR2200048
34 A Ishida, The structure of subgroup of mapping class groups generated by two Dehn twists, Proc. Japan Acad. Ser. A Math. Sci. 72 (1996) 240 MR1435728
35 D M James, Free circle actions on homotopy nine spheres, Illinois J. Math. 24 (1980) 681 MR586806
36 R Kasilingam, Classification of smooth structures on a homotopy complex projective space, Proc. Indian Acad. Sci. Math. Sci. 126 (2016) 277 MR3489166
37 K Kawakubo, On the inertia groups of homology tori, J. Math. Soc. Japan 21 (1969) 37 MR234473
38 A M Keating, Dehn twists and free subgroups of symplectic mapping class groups, J. Topol. 7 (2014) 436 MR3217627
39 M A Kervaire, J W Milnor, Groups of homotopy spheres, I, Ann. of Math. 77 (1963) 504 MR148075
40 M Khovanov, P Seidel, Quivers, Floer cohomology, and braid group actions, J. Amer. Math. Soc. 15 (2002) 203 MR1862802
41 T Kragh, Parametrized ring-spectra and the nearby Lagrangian conjecture, Geom. Topol. 17 (2013) 639 MR3070514
42 J P Levine, Lectures on groups of homotopy spheres, from: "Algebraic and geometric topology" (editors A Ranicki, N Levitt, F Quinn), Lecture Notes in Math. 1126, Springer (1985) 62 MR802786
43 T J Li, W Wu, Lagrangian spheres, symplectic surfaces and the symplectic mapping class group, Geom. Topol. 16 (2012) 1121 MR2946805
44 C Y Mak, W Wu, Dehn twist exact sequences through Lagrangian cobordism, Compos. Math. 154 (2018) 2485 MR3873526
45 C Y Mak, W Wu, Dehn twists and Lagrangian spherical manifolds, Selecta Math. 25 (2019) MR4030222
46 S Ma’u, K Wehrheim, C Woodward, A functors for Lagrangian correspondences, Selecta Math. 24 (2018) 1913 MR3816496
47 M Maydanskiy, P Seidel, Lefschetz fibrations and exotic symplectic structures on cotangent bundles of spheres, J. Topol. 3 (2010) 157 MR2608480
48 D McDuff, D Salamon, Introduction to symplectic topology, Oxford Univ. Press (2017) MR3674984
49 J W Milnor, Topology from the differentiable viewpoint, Univ. Press of Virginia (1965) MR226651
50 J Moser, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965) 286 MR182927
51 S P Novikov, Topological invariance of rational classes of Pontrjagin, Dokl. Akad. Nauk SSSR 163 (1965) 298 MR193644
52 T Perutz, Lagrangian matching invariants for fibred four-manifolds, I, Geom. Topol. 11 (2007) 759 MR2302502
53 T Perutz, A symplectic Gysin sequence, preprint (2008) arXiv:0807.1863
54 M Poźniak, Floer homology, Novikov rings and clean intersections, PhD thesis, University of Warwick (1994)
55 A F Ritter, Floer theory for negative line bundles via Gromov–Witten invariants, Adv. Math. 262 (2014) 1035 MR3228449
56 P Seidel, Symplectic automorphisms of TS2, preprint (1998) arXiv:math/9803084
57 P Seidel, Lagrangian two-spheres can be symplectically knotted, J. Differential Geom. 52 (1999) 145 MR1743463
58 P Seidel, Graded Lagrangian submanifolds, Bull. Soc. Math. France 128 (2000) 103 MR1765826
59 P Seidel, A long exact sequence for symplectic Floer cohomology, Topology 42 (2003) 1003 MR1978046
60 P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
61 P Seidel, Lectures on four-dimensional Dehn twists, from: "Symplectic 4–manifolds and algebraic surfaces" (editors F Catanese, G Tian), Lecture Notes in Math. 1938, Springer (2008) 231 MR2441414
62 P Seidel, I Smith, The symplectic topology of Ramanujam’s surface, Comment. Math. Helv. 80 (2005) 859 MR2182703
63 P Seidel, R Thomas, Braid group actions on derived categories of coherent sheaves, Duke Math. J. 108 (2001) 37 MR1831820
64 I Smith, Geometric monodromy and the hyperbolic disc, Q. J. Math. 52 (2001) 217 MR1838364
65 D Tonkonog, Commuting symplectomorphisms and Dehn twists in divisors, Geom. Topol. 19 (2015) 3345 MR3447106
66 K Wehrheim, C T Woodward, Functoriality for Lagrangian correspondences in Floer theory, Quantum Topol. 1 (2010) 129 MR2657646
67 K Wehrheim, C T Woodward, Quilted Floer cohomology, Geom. Topol. 14 (2010) 833 MR2602853
68 K Wehrheim, C T Woodward, Floer cohomology and geometric composition of Lagrangian correspondences, Adv. Math. 230 (2012) 177 MR2900542
69 K Wehrheim, C T Woodward, Exact triangle for fibered Dehn twists, Res. Math. Sci. 3 (2016) MR3536436
70 W Wu, Exact Lagrangians in An–surface singularities, Math. Ann. 359 (2014) 153 MR3201896