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

Volume 30, 1 issue

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