We know there is a chiral knot which is a knot that is not equivalent to its mirror image. It is well known in the mathematical field of knot theory: https://en.wikipedia.org/wiki/Chiral_knot

My first question is about

(1) the literature and the References on

the chirality of link in 3 dimensions

the chirality of link in 5 dimensions

What are some good text/Refs on the topological invariants of these chiralities of links of 1-submanifolds in 3 dimensions? (addressed somewhere in the literature?)

For example, in 5 dimensions, let me consider a 5-sphere $S^5$. Let me define a new quartic link Q of 5-dimensions in $S^5$: such that $\Sigma^3_{W_{{(i)}}},\Sigma^3_{W_{{(ii)}}},\Sigma^3_{W_{{(iii)}}}$ are 3 sets of 3-submanifolds, while the $\Sigma^2_U$ is a 2-surface. Let $V^4_{W_{{(i)}}}, V^4_{W_{{(ii)}}}, V^4_{W_{{(iii)}}}, V^3_U$ be their Seifert volumes in one higher dimensions.

Are these chiralities of link of 2-submanifolds and 3-submanifolds in 5 dimensions also addressed somewhere in the literature?

There can be a link invariant defined in this manner: $$ { \#(V^4_{W_{{(i)}}}\cap V^4_{W_{{(ii)}}}\cap V^4_{W_{{(iii)}}}\cap V^3_U)\equiv\text{Q}^{(5)}(\Sigma^3_{W_{{(i)}}},\Sigma^3_{W_{{(ii)}}},\Sigma^3_{W_{{(iii)}}},\Sigma^2_U)} $$

I am suspecting there could be a opposite chirality of this invariant defined as $\overline{\text{Q}^{(5)}}$ as follows: $$ { \#(V^4_{W_{{(ii)}}}\cap V^4_{W_{{(i)}}}\cap V^4_{W_{{(iii)}}}\cap V^3_U)+\dots \equiv\overline{\text{Q}^{(5)}}(\Sigma^3_{W_{{(ii)}}},\Sigma^3_{W_{{(i)}}},\Sigma^3_{W_{{(iii)}}},\Sigma^2_U)} $$

(2) Do similar

chirality and anti-chirality of link invariantsin 3 dimensions, happening for example to Borromean rings? Or other Brunnian links? Examples and References are welcome.