Totally real embeddings of the torus intoC2

✍ Scribed by Thomas Fiedler

• Publisher: Springer
• Year: 1987
• Tongue: English
• Weight: 234 KB
• Volume: 5
• Category: Article
• ISSN: 0232-704X
• DOI: 10.1007/bf00127854

✦ Synopsis

In this short note we combine a construction of Viro and a result of Eliashberg and Harlamov to prove that there exist smooth totally real embeddings of the torus into C 2 which are isotopic but not so within the class of totally real surfaces. We also show how Viro's construction can be used to define an isotopy invariant for a certain class of complex curves in CP 2 .