"Quiver mutations"의 두 판 사이의 차이

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imported>Pythagoras0
 
5번째 줄: 5번째 줄:
  
  
 
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==quiver mutations==
 
==quiver mutations==
15번째 줄: 15번째 줄:
 
* The new arrows simplify with any old arrows in the opposite direction.
 
* The new arrows simplify with any old arrows in the opposite direction.
  
 
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==links==
 
==links==
 
* http://www.mutatingquivers.com/Home.html
 
* http://www.mutatingquivers.com/Home.html

2020년 12월 28일 (월) 04:21 기준 최신판

quiver

  • quiver = finite oriented graph without loop and 2-cycle



quiver mutations

  • This is a process that can be done at any point of the quiver
  • The new quiver has same points as the old quiver.
  • Arrows into the point of mutation in the old quiver becomes arrows out, in the new quiver.
  • Arrows out of the point of mutation in the old quiver becomes arrows into, in the new quiver.
  • There are new arrows formed. Any path of length 2 through the point of mutation gives an arrow in the new quiver. The arrow has the same startining and ending points as the path.
  • The new arrows simplify with any old arrows in the opposite direction.


links


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