3 papers
math.GT2024
Connecting essential triangulations II: via 2-3 moves only
Tejas Kalelkar, Saul Schleimer, Henry Segerman
In previous work we showed that for a manifold , whose universal cover has infinitely many boundary components, the set of essential ideal triangulations of is connected via…
math.GT2024
Connecting essential triangulations I: via 2-3 and 0-2 moves
Tejas Kalelkar, Saul Schleimer, Henry Segerman
Suppose that is a compact, connected three-manifold with boundary. We show that if the universal cover has infinitely many boundary components then has an ideal triangulati…
math.GT2024
Writhe invariants of 3-regular spatial graphs
Stefan Friedl, Tejas Kalelkar, José Pedro Quintanilha
We give a necessary condition for two diagrams of -regular spatial graphs with the same underlying abstract graph to represent isotopic spatial graphs. The test works by rea…