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

Volume 25
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
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