Omnipool.md

System Level

Notation

Variable	Description
$Q$	Total LRNA in Omnipool
$Q_i$	LRNA in subpool for asset $i$
$S_i$	Shares in asset $i$ subpool
$B_i$	Protocol shares in asset $i$
$s_i^\alpha$	Shares in asset $i$ held by LP $\alpha$
For a given state variable $X$, we will generally denote the value of $X$ after the operation by $X^+$.

Omnipool Specification

• Total shares issued should equal the sum of shares held in all LP positions and protocol.

$$ S_i = \sum_{\alpha}s_i^\alpha + B_i $$

• The total LRNA in Omnipool should equal the sum of LRNA held by pools.

$$ Q = \sum_i Q_i $$