Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 1703

A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.

5 votes

What is the quantity 2(handles)+crosscaps called?

I don't know of a name for the specific quantity $2g + k$, but it should be noted that $2 - (2g+k) = \chi(S_{g,k})$, the Euler characteristic.
Simon Rose's user avatar
  • 6,242