Ciprian Manolescu

Research Monographs:

2. The equivalence of two Seiberg-Witten Floer homologies (with T. Lidman), Astérisque, Vol. 399 (2018)

1. Cornered Heegaard Floer homology (with C. Douglas and R. Lipshitz), Memoirs of the American Mathematical Society, Vol. 262 (2019), no. 1266

Research Articles:

32. A knot Floer stable homotopy type (with S. Sarkar), preprint (2021)

31. From zero surgeries to candidates for exotic definite four-manifolds (with L. Piccirillo), preprint (2021)

30. Relative genus bounds in indefinite four-manifolds (with M. Marengon and L. Piccirillo), preprint (2020)

29. Skein lasagna modules for 2-handlebodies (with I. Neithalath), preprint (2020)

28. A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds (with M. Marengon, S. Sarkar and M. Willis), preprint (2019)

27. A two-variable series for knot complements (with S. Gukov), Quantum Topology, Vol. 12 (2021), 1-109

26. A sheaf-theoretic SL(2,C) Floer homology for knots (with L. Côté), Proceedings of the London Mathematical Society, Vol. 119 (2019), 1336-1387

25. The Knight Move Conjecture is false (with M. Marengon), Proceedings of the American Mathematical Society, Vol. 148 (2020), 435-439

24. A sheaf-theoretic model for SL(2,C) Floer homology (with M. Abouzaid), Journal of the European Mathematical Society, Vol. 22 (2020), 3641-3695

23. Involutive Heegaard Floer homology and plumbed three-manifolds (with I. Dai), Journal of the Institute of Mathematics of Jussieu, Vol. 18 (2019), 1115-1155

22. A connected sum formula for involutive Heegaard Floer homology (with K. Hendricks and I. Zemke), Selecta Mathematica, Vol. 24 (2018), 1183-1245

21. Floer homology and covering spaces (with T. Lidman), Geometry & Topology, Vol. 22 (2018), 2817-2838

20. Involutive Heegaard Floer homology (with K. Hendricks), Duke Mathematical Journal, Vol. 166 (2017), 1211-1299

19. On the intersection forms of spin four-manifolds with boundary, Mathematische Annalen, Vol. 359 (2014), 695-728

18. A generalized asynchronous computability theorem (with E. Gafni and P. Kuznetsov), in Proceedings of the 2014 ACM Symposium on Principles of Distributed Computing (PODC '14), ACM, New York (2014), 222-231

17. Pin(2)-equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture, Journal of the American Mathematical Society, Vol. 29 (2016), 147-176

16. An untwisted cube of resolutions for knot Floer homology, Quantum Topology, Vol. 5 (2014), 185-223

15. On the algebra of cornered Floer homology (with C. Douglas), Journal of Topology, Vol. 7 (2014), 1-68

14. Heegaard Floer homology and integer surgeries on links (with P. Ozsváth), preprint (2010, revised 2017)

13. Grid diagrams and Heegaard Floer invariants (with P. Ozsváth and D. Thurston), preprint (2009, revised 2020)

12. Floer homology on the extended moduli space (with C. Woodward), in Perspectives in Analysis, Geometry and Topology, Progress in Mathematics Vol. 296, Birkhauser/Springer, New York (2012), 283-329

11. On the Khovanov and knot Floer homologies of quasi-alternating links (with P. Ozsváth), in Proceedings of the Gökova Geometry-Topology Conference 2007, Gökova (2008), 60-81

10. Combinatorial cobordism maps in hat Heegaard Floer theory (with R. Lipshitz and J. Wang), Duke Mathematical Journal, Vol. 145 (2008), 207-247

9. On combinatorial link Floer homology (with P. Ozsváth, D. Thurston and Z. Szabó), Geometry & Topology, Vol. 12 (2007), 2339-2412

8. An unoriented skein exact triangle for knot Floer homology, Mathematical Research Letters, Vol. 14 (2007), 839-852

7. A combinatorial description of knot Floer homology (with P. Ozsváth and S. Sarkar), Annals of Mathematics, Vol. 169 (2009), 633-660

6. Link homology theories from symplectic geometry, Advances in Mathematics, Vol. 211 (2007), 363-416

5. A concordance invariant from the Floer homology of double branched covers (with B. Owens), International Mathematics Research Notices, Vol. 2007, doi:10.1093/imrn/rnm077

4. Nilpotent slices, Hilbert schemes, and the Jones polynomial, Duke Mathematical Journal, Vol. 132 (2006), 311-369

3. A gluing theorem for the relative Bauer-Furuta invariants, Journal of Differential Geometry, Vol. 76 (2007), 117-153 (with Errata)

2. Periodic Floer pro-spectra from the Seiberg-Witten equations (with P. Kronheimer), unpublished manuscript (2003)

1. Seiberg-Witten-Floer stable homotopy type of three-manifolds with b_1=0, Geometry & Topology, Vol. 7 (2003), 889-932 (with Errata)

Expository Articles:

8. Four-dimensional topology, preprint (2021)

7. Homology cobordism and triangulations, in Proceedings of the International Congress of Mathematicians, Rio de Janeiro (2018), Vol. 2, 1175-1192

6. Lectures on the triangulation conjecture, in Proceedings of the Gökova Geometry / Topology Conference 2015, Gökova (2016), 1-38

5. Floer theory and its topological applications, Japanese Journal of Mathematics, Vol. 10 (2015), 105-133

4. Triangulations of manifolds, Notices of the International Congress of Chinese Mathematicians, Vol. 2 (2014), no.2, 21-23

3. An introduction to knot Floer homology, in Physics and mathematics of link homology, Contemp. Math., Vol. 680, AMS (2016), 99-135

2. The Conley index, gauge theory, and triangulations, Journal of Fixed Point Theory and Applications, Vol. 13 (2013), 431-457

1. Grid diagrams in Heegaard Floer theory, in European Congress of Mathematics, Krakow, 2-7 July, 2012, European Mathematical Society (2013), 643-657

Book Edited:

1. Quantum Field Theory and Manifold Invariants, IAS/Park City Mathematics Series, Vol. 28, 2021 (co-edited with Dan Freed, Sergei Gukov, Constantin Teleman, and Ulrike Tillman). It includes an introduction to topological quantum field theories.