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

Volume 30
Issue 5, 1611–2042
Issue 4, 1203–1610
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Knot surgery formulae for instanton Floer homology, I: The main theorem

Zhenkun Li and Fan Ye

Geometry & Topology 29 (2025) 2269–2342
Bibliography
1 J A Baldwin, S Sivek, Naturality in sutured monopole and instanton homology, J. Differential Geom. 100 (2015) 395 MR3352794
2 J A Baldwin, S Sivek, A contact invariant in sutured monopole homology, Forum Math. Sigma 4 (2016) MR3510331
3 J A Baldwin, S Sivek, Instanton Floer homology and contact structures, Selecta Math. 22 (2016) 939 MR3477339
4 J A Baldwin, S Sivek, Framed instanton homology and concordance, J. Topol. 14 (2021) 1113 MR4332488
5 J A Baldwin, S Sivek, Khovanov homology detects the trefoils, Duke Math. J. 171 (2022) 885 MR4393789
6 J A Baldwin, S Sivek, Instantons and L-space surgeries, J. Eur. Math. Soc. 25 (2023) 4033 MR4634689
7 J A Baldwin, S Sivek, Characterizing slopes for 52, J. Lond. Math. Soc. 109 (2024) MR4760447
8 J M Boardman, Conditionally convergent spectral sequences, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 49 MR1718076
9 E Eftekhary, Bordered Floer homology and existence of incompressible tori in homology spheres, Compos. Math. 154 (2018) 1222 MR3826457
10 A Floer, Instanton homology, surgery, and knots, from: "Geometry of low-dimensional manifolds, I" (editors S K Donaldson, C B Thomas), Lond. Math. Soc. Lect. Note Ser. 150, Cambridge Univ. Press (1990) 97 MR1171893
11 S Ghosh, Z Li, C M M Wong, On the tau invariants in instanton and monopole Floer theories, J. Topol. 17 (2024) MR4821358
12 M Hedden, A S Levine, A surgery formula for knot Floer homology, Quantum Topol. 15 (2024) 229 MR4725826
13 K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
14 A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
15 P Kronheimer, T Mrowka, Knots, sutures, and excision, J. Differential Geom. 84 (2010) 301 MR2652464
16 P B Kronheimer, T S Mrowka, Knot homology groups from instantons, J. Topol. 4 (2011) 835 MR2860345
17 Z Li, Contact structures, excisions and sutured monopole Floer homology, Algebr. Geom. Topol. 20 (2020) 2553 MR4171573
18 Z Li, Gluing maps and cobordism maps in sutured monopole and instanton Floer theories, Algebr. Geom. Topol. 21 (2021) 3019 MR4344877
19 Z Li, Knot homologies in monopole and instanton theories via sutures, J. Symplectic Geom. 19 (2021) 1339 MR4450625
20 Z Li, F Ye, SU(2) representations and a large surgery formula, preprint (2021) arXiv:2107.11005
21 Z Li, F Ye, Instanton Floer homology, sutures, and Heegaard diagrams, J. Topol. 15 (2022) 39 MR4407491
22 Z Li, F Ye, An enhanced Euler characteristic of sutured instanton homology, Int. Math. Res. Not. 2024 (2024) 2873 MR4707276
23 Z Li, F Ye, Knot surgery formulae for instanton Floer homology, II : Applications, Math. Ann. 391 (2025) 6291 MR4884573
24 T Lidman, J Pinzón-Caicedo, C Scaduto, Framed instanton homology of surgeries on L-space knots, Indiana Univ. Math. J. 71 (2022) 1317 MR4448586
25 P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
26 P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
27 S Sarkar, Moving basepoints and the induced automorphisms of link Floer homology, Algebr. Geom. Topol. 15 (2015) 2479 MR3426686
28 C W Scaduto, Instantons and odd Khovanov homology, J. Topol. 8 (2015) 744 MR3394316
29 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324
30 I Zemke, Graph cobordisms and Heegaard Floer homology, preprint (2015) arXiv:1512.01184