"Surfaces with punctures"의 두 판 사이의 차이

2020년 12월 28일 (월) 04:15 기준 최신판

surface with punctures

replace ideal triangulation by tagged triangulation

two tagged arcs are compatible if (i) they do not cross (ii) they are not isotopic except
tagged triangulation
- maximal collection of compatible tagged arcs

tagged arc complex is the clique complex where simplices are collections of compatible tagged arcs

\Theorem (Fomin, Shapiro, Thurston)

(S,M) any marked surface. Then there exists a cluster algebra associated to it,

tagged arc complex = cluster complex

tagged arcs,- <=> cluster variables

tagged flips <-> mutations

@@ 3번째 줄: / 3번째 줄: @@
 replace ideal triangulation by tagged triangulation
-<h5>notions</h5>
+==notions==
 * once-punctured monogon
@@ 15번째 줄: / 15번째 줄: @@
 * radius
-<h5>tagged triangulation</h5>
+==tagged triangulation==
-*  two tagged arcs are compatible if<br> (i) they do not cross<br> (ii) they are not isotopic except<br>
+*  two tagged arcs are compatible if (i) they do not cross (ii) they are not isotopic except
-*  tagged triangulation<br>
+*  tagged triangulation
 ** maximal collection of compatible tagged arcs
-<h5>tagged arc complex</h5>
+==tagged arc complex==
 tagged arc complex is the clique complex where simplices are collections of compatible tagged arcs
 \Theorem (Fomin, Shapiro, Thurston)
-(S,M) any marked surface.  Then there exists a cluster algebra associated to it,
+(S,M) any marked surface.  Then there exists a cluster algebra associated to it,
 tagged arc complex = cluster complex
 tagged arcs,- <=> cluster variables
 tagged flips <-> mutations
-<h5> </h5>
+== ==
+[[분류:개인노트]]
+[[분류:cluster algebra]]
+[[분류:math and physics]]
+[[분류:math]]
+[[분류:migrate]]