Research Papers

  1. Jae Choon Cha, Symmetric Whitney tower cobordism for bordered 3-manifolds and links.
    [ Preprint version arxiv:1204.4968 (28 pages) ]
  2. Jae Choon Cha and Daniel Ruberman, Concordance to links with unknotted components, Algebraic and Geometric Topology 12 (2012), 963-977.
    [ Published version | Preprint version arXiv:1103.2417 ]
  3. Jae Choon Cha and Kent E. Orr, Hidden torsion, 3-manifolds, and homology cobordism, to appear in Journal of Topology.
    [ Preprint version arXiv:1101.4092 (23 pages) ]
  4. Jae Choon Cha, Taehee Kim, Daniel Ruberman, and Saso Strle, Smooth concordance of links topologically concordant to the Hopf link, to appear in Bulletin of the London Mathematical Society.
    [ Published version | Preprint version arXiv:1012.2045 ]
  5. Jae Choon Cha, Amenable L2-theoretic methods and knot concordance.
    [ Preprint version arXiv:1010.1058 (25 pages) ]
  6. Jae Choon Cha and Stefan Friedl, Twisted torsion invariants and link concordance, to appear in Forum Mathematicum.
    [ Published version | Preprint version arXiv:1001.0926 ]
  7. Jae Choon Cha and Kent E. Orr, $L^2$-signatures, homology localization, and amenable groups, Communications on Pure and Applied Mathematics 65 (2012), 790-832.
    [ Published version | Preprint version arXiv:0910.3700 ]
  8. Jae Choon Cha, Stefan Friedl, and Taehee Kim, The cobordism group of homology cylinders, Compositio Mathematica 147 (2011), 914-942.
    [ Published version | Preprint version arXiv:0909.5580 ]
  9. Jae Choon Cha, Link concordance, homology cobordism, and Hirzebruch-type defects from iterated p-covers, Journal of the European Mathematical Society (JEMS) 12 (2010), 555-610.
    [ Published version | Preprint version arXiv:0705.0088 ]
  10. Jae Choon Cha, Structure of the string link concordance group and Hirzebruch-type invariants, Indiana University Mathematics Journal 58 (2009), 891-928.
    [ Published version | Preprint version arXiv:0709.2968 ]
  11. Jae Choon Cha and Taehee Kim, Covering link calculus and iterated Bing doubles, Geometry and Topology 12 (2008), 2173-2201.
    [ G&T home page | Preprint version arXiv:0712.3762 ]
  12. Jae Choon Cha, Topological minimal genus and L2-signatures, Algebraic and Geometric Topology 8 (2008), 885-909.
    [ AGT home page | Preprint version arXiv:math.GT/0609411 ]
  13. Jae Choon Cha, Charles Livingston, and Daniel Ruberman, Algebraic and Heegaard-Floer invariants of knots with slice Bing doubles, Mathematical Proceedings of the Cambridge Philosophical Society 144 (2008), 403-410.
    [ Cambridge Journals Online | Preprint version arXiv:math.GT/0612419 ]
  14. Jae Choon Cha, Injectivity theorems and algebraic closures with coefficients, Proceedings of the London Mathematical Society 96 (2008), no. 1, 227-250.
    [ Oxford Journals home page | Preprint version arXiv:math.GT/0609409 ]
  15. Jae Choon Cha, The structure of the rational concordance group of knots, Memoirs of the American Mathematical Society 189 (2007), no. 885, x+95pp.
    [ Google Books preview | Preprint version arXiv:math.GT/0609408 ]
  16. Jae Choon Cha and Ki Hyoung Ko, Signature invariants of covering links, Transactions of the American Mathematical Society 358 (2006), 3399-3412.
    [ TAMS home page | Preprint version arXiv:math.GT/0108206 ]
  17. Jae Choon Cha, The effect of mutation on link concordance, 3-manifolds, and the Milnor invariants, Journal of Knot Theory and Its Ramifications 15 (2006), no. 2, 239-257.
    [ JKTR home page | Preprint version arXiv:math.GT/0109134 ]
  18. Jae Choon Cha and Charles Livingston, Knot signature functions are independent, Proceedings of the American Mathematical Society 132 (2004), 2809-2816.
    [ PAMS home page | Preprint version arXiv:math.GT/0208225 ]
  19. Jae Choon Cha, Fibred knots and twisted Alexander invariants, Transactions of the American Mathematical Society 355 (2003), 4187-4200.
    [ TAMS home page | Preprint version arXiv:math.GT/0109136 ]
  20. Jae Choon Cha and Ki Hyoung Ko, Signatures of links in rational homology spheres, Topology 41 (2002), 1161-1182.
    [ ScienceDirect | Preprint version arXiv:math.GT/0108197 ]
  21. Jae Choon Cha and Ki Hyoung Ko, On equivariant slice knots, Proceedings of the American Mathematical Society (1999) 127, no. 7, 2175-2182.
    [ PAMS home page ]
  22. Jae Choon Cha and Ki Hyoung Ko, Signature invariants of links from irregular covers and non-abelian covers, Mathematical Proceedings of the Cambridge Philosophical Society (1999) 127, 67-81.
    [ Cambridge Journals Online ]
  23. Jae Choon Cha and Jung Hee Cheon, An identity-based signature from gap Diffie-Hellman groups, PKC 2003, Lecture Notes in Computer Science 2567 (2002), pp. 18-30.
  24. Jae Choon Cha, Ki Hyoung Ko, Sang Jin Lee, Jae Woo Han, and Jung Hee Cheon, An efficient implementation of braid groups, Asiacrypt 2001, Lecture Notes in Computer Science 2248 (2001), pp. 157-174.

Papers Unpublished

  1. Jae Choon Cha and Charles Livingston, Unknown values in the table of knots, arXiv:math.GT/0503125.
    • This note is regularly updated to provide up-to-date information on unknown values of basic knot invariants, in conjunction with the website KnotInfo.
  2. Jae Choon Cha, A characterization of the Murasugi polynomial of an equivariant slice knot, 2004 (4 pages). arXiv:math.GT/0404403.
    • The main result and its proof in this paper will appear in an upcoming new edition of J. Hillman’s book “Algebraic Invariants of Links” (World Scientific).
  3. Jae Choon Cha and Taehee Kim, Rasmussen invariants and link concordance,2006 (5 pages).
    • In this note we observe that Rasmussen’s argument actually shows the invariance of Lee’s degenerated Khovanov homology, as a filtered vector space, under link concordance.  Later this was rediscovered by John Pardon, “The link concordance invariant from Lee homology” (arXiv:1107.4702).