@article{7dd5403594584c1383db4116f5144d6a,
title = "Knot Floer homology of (1, 1)-knots",
abstract = "We present a combinatorial method for a calculation of the knot Floer homology of (1, l)-knots, and then demonstrate it for nonalternating (1, 1)-knots with 10 crossings and the pretzel knots of type (-2,m, n). Our calculations determine the unknotting numbers and 4-genera of the pretzel knots of this type.",
keywords = "(1, 1)-knots, Floer homology, Knot Floer homology, Pretzel knot, Tunnel number one knots",
author = "Hiroshi Goda and Hiroshi Matsuda and Takayuki Morifuji",
note = "Funding Information: The first and third authors are partially supported by the Grant-in-Aid for Scientific Research (Nos. 15740031 and 14740036), The Ministry of Education, Culture, Sports, Science and Technology, Japan. The second author is partially supported by JSPS Research Fellowships for Young Scientists.",
year = "2005",
month = apr,
doi = "10.1007/s10711-004-5403-2",
language = "English",
volume = "112",
pages = "197--214",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",
}