|
|
|
|
References
|
|
| |
| 1. |
Dold A., Lectures on algebraic topology, Grundlehren Math. Wiss., 200, Springer, Berlin, 1972   |
| 2. |
Donaldson S. K., “Topological field theories and formulae of Casson and Meng-Taubes”, Proc. of the Kirbyfest (Berkeley, CA, 1998), Geom. Topol. Monogr., 2, Geom. Topol. Publ., Coventry, 1999, 87–102  |
| 3. |
Fintushel R., Stern R., “Knots, links, and $4$-manifolds”, Invent. Math., 134:2 (1998), 363–400   |
| 4. |
Gabai D., “Foliations and the topology of $3$-manifolds”, J. Differential Geom., 18:3 (1983), 445–503 |
| 5. |
Gabai D., “Detecting fibred links in $S^3$”, Comment. Math. Helv., 61:4 (1986), 519–555 |
| 6. |
Goda H., “Heegaard splitting for sutured manifolds and Murasugi sum”, Osaka J. Math., 29:1 (1992), 21–40 |
| 7. |
Goda H., “On handle number of Seifert surfaces in $S^3$”, Osaka J. Math., 30:1 (1993), 63–80 |
| 8. |
Goda H., “Circle valued Morse theory for knots and links”, Floer Homology, Gauge Theory, and Low-dimensional Topology, Clay Math. Proc., 5, Amer. Math. Soc., Providence, RI, 2006, 71–99 |
| 9. |
Goda H., Pajitnov A., “Twisted Novikov homology and circle-valued Morse theory for knots and links”, Osaka J. Math., 42:3 (2005), 557–572 |
| 10. |
Goda H., Pajitnov A., “Dynamics of gradient flows in the half-transversal Morse theory”, Proc. Japan Acad. Ser. A Math. Sci., 85:1 (2009), 6–10 |
| 11. |
Hutchings M., Lee Y-J., “Circle-valued Morse theory, Reidemeister torsion, and Seiberg–Witten invariants of $3$-manifolds”, Topology, 38:4 (1999), 861–888 |
| 12. |
Hutchings M., Lee Y-J., “Circle-valued Morse theory and Reidemeister torsion”, Geom. Topol., 3 (1999), 369–396 |
| 13. |
Lei F., “On stability of Heegaard splittings”, Math. Proc. Cambridge Philos. Soc., 129:1 (2000), 55–57 |
| 14. |
Mark T., “Torsion, TQFT and Seiberg–Witten invariants of $3$-manifolds”, Geom. Topol., 6 (2002), 27–58 |
| 15. |
Meng G., Taubes C., “$\underline{SW}=$ Milnor torsion”, Math. Res. Lett., 3:5 (1996), 661–674 |
| 16. |
Milnor J., “Infinite cyclic coverings”, Conf. on the Topology of Manifolds (Michigan State Univ., Mich., 1967), Prindle, Weber & Schmidt, Boston, Mass., 1968, 115–133 |
| 17. |
Morita S., Geometry of characteristic classes, Iwanami Ser. Modern Math., Transl. Math. Monogr., 199, Amer. Math. Soc., Providence, RI, 2001 |
| 18. |
Novikov S. P., “Mnogoznachnye funktsii i funktsionaly. Analog teorii Morsa”, Dokl. AN SSSR, 260:1 (1981), 31–35  |
| 19. |
Pazhitnov A. V., “Prostoi gomotopicheskii tip kompleksa Novikova i $\zeta$-funktsiya Lefshetsa gradientnogo potoka”, Uspekhi mat. nauk, 54:1 (1999), 117–170 ; (9 July 1997), arXiv: dg-ga/9706014 |
| 20. |
Pajitnov A., Circle-valued Morse theory, de Gruyter Stud. Math., 32, Walter de Gruyter & Co., Berlin, 2006 |
| 21. |
Pazhitnov A. V., Rudolf L., Veber K., “Chislo Morsa–Novikova dlya uzlov i zatseplenii”, Algebra i analiz, 13:3 (2001), 105–118 |
| 22. |
Scharlemann M., “Sutured manifolds and generalized Thurston norms”, J. Differential Geom., 29:3 (1989), 557–614 |
| 23. |
Scharlemann M., Thompson A., “Heegaard splittings of $(surface)\times I$ are standard”, Math. Ann., 295:3 (1993), 549–564 |
| 24. |
Turaev V., “A combinatorial formulation for the Seiberg–Witten invariants of $3$-manifolds”, Math. Res. Lett., 5:5 (1998), 583–598 |
