Pseudo-holomorphic maps and bubble trees

  title={Pseudo-holomorphic maps and bubble trees},
  author={Thomas H. Parker and J. Wolfson},
  journal={The Journal of Geometric Analysis},
This paper proves a strong convergence theorem for sequences of pseudo-holomorphic maps from a Riemann surface to a symplectic manifoldN with tamed almost complex structure. (These are the objects used by Gromov to define his symplectic invariants.) The paper begins by developing some analytic facts about such maps, including a simple new isoperimetric inequality and a new removable singularity theorem.The main technique is a general procedure for renormalizing sequences of maps to obtain… Expand