Suppose $K$ is a torus. Suppose $l_1$ and $l_2$ are simple closed curves in $K$ that intersect transversely at even number of crossings. Then is it necessary that the closed curves $l_1$ and $l_2$ are homologous in the torus $K$?
2026-03-26 11:17:53.1774523873
Are two loops intersecting even number of times in the torus homologous?
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