scholarly journals On Heegaard Diagrams and Holomorphic Disks

2009 ◽  
pp. 769-782 ◽  
Author(s):  
Peter Ozsváth ◽  
Zoltán Szabó
Keyword(s):  
Heegaard Diagrams ◽  
Holomorphic Disks

scholarly journals Cross-sections of unknotted ribbon disks and algebraic curves

2019 ◽  
Vol 155 (2) ◽  
pp. 413-423
Author(s):  
Kyle Hayden
Keyword(s):  
Cross Sections ◽  
Algebraic Curves ◽  
American Mathematical Society ◽  
Geometric Topology ◽  
Mathematical Society ◽  
Advanced Mathematics ◽  
Low Dimensional Topology ◽  
Low Dimensional ◽  
Holomorphic Disks

We resolve parts (A) and (B) of Problem 1.100 from Kirby’s list [Problems in low-dimensional topology, in Geometric topology, AMS/IP Studies in Advanced Mathematics, vol. 2 (American Mathematical Society, Providence, RI, 1997), 35–473] by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed cross-sections, including unknotted Lagrangian disks with nontrivial cross-sections.

DECOMPOSITIONS OF PLANAR HOMEOMORPHISMS USING COMPUTER SOFTWARE

2002 ◽  
Vol 11 (06) ◽  
pp. 955-972
Author(s):  
IL YEUN CHO ◽  
MITSUYUKI OCHIAI ◽  
YOSHIKO SAKATA
Keyword(s):  
Data Structure ◽  
Computer Software ◽  
The Self ◽  
Heegaard Diagrams ◽  
Heegaard Diagram ◽  
Connected Surface

We have established in [S3] an algorithm with a new data structure that decomposes gluing homeomorphisms of 3-manifolds given by planar Heegaard diagrams into a product of canonical Dehn's twists. To support this study, we developed a computer software called Decomposition of Planar Homeomorphisms (Genus 3) that automatically decomposes the self homeomorphis of a closed connected surface given by any planar Heegaard diagram of genus 3 into a product of canonical Dehn's twists. In this paper, we demonstrate the content and the implementation that this software holds and also show its availability.

scholarly journals Holomorphic disks and topological invariants for closed three-manifolds

2004 ◽  
Vol 159 (3) ◽  
pp. 1027-1158 ◽  
Author(s):  
Peter Ozsváth ◽  
Zoltán Szabó
Keyword(s):  
Topological Invariants ◽  
Holomorphic Disks

scholarly journals Nonlinear gravitons, null geodesics, and holomorphic disks

2007 ◽  
Vol 136 (2) ◽  
pp. 205-273 ◽  
Author(s):  
Claude Lebrun ◽  
L. J. Mason
Keyword(s):  
Null Geodesics ◽  
Holomorphic Disks
Sign in / Sign up

Export Citation Format

Share Document