In this MO question it is stated that there is a relation between some aspects of condensed matter physics (namely the fractional quantum Hall effect) and the algebraic geometry of Hilbert schemes.

Having made a quick google search without immediate results, I'm curious to know:

1. How does this interaction between the two topics happen?

Let's have a more general look. I'm aware of the relation between Hilbert schemes -and also other kinds of moduli spaces of sheaves- and instantons. Anyway, here I would be interested to know of other examples more in the vein of the MO question linked above.

2. Do moduli spaces in the sense of algebraic geometry -of which Hilbert schemes are a special case- have any link with physics (except string theory, high energy and elementary particle physics)?

Last but not least:

3. What about moduli spaces and applied mathematics?

In this MO question it is stated that there is a relation between some aspects of condensed matter physics (namely the fractional quantum Hall effect) and the algebraic geometry of Hilbert schemes.

Having made a quick google search without immediate results, I'm curious to know:

1. How does this interaction between the two topics happen?

Let's have a more general look. I'm aware of the relation between Hilbert schemes -and also other kinds of moduli spaces of sheaves- and instantons. Anyway, here I would be interested to know of other examples more in the vein of the MO question linked above.

2. Do moduli spaces in the sense of algebraic geometry -of which Hilbert schemes are a special case- have any link with physics (except string theory, high energy and elementary particle physics)?

Last but not least:

3. What about moduli spaces and applied mathematics?

In this MO question it is stated that there is a relation between some aspects of condensed matter physics (namely the fractional quantum Hall effect) and the algebraic geometry of Hilbert schemes.

Having made a quick google search without immediate results, I'm curious to know:

1. How does this interaction between the two topics happen?

I'm aware of the relation between Hilbert schemes -and also other kinds of moduli spaces of sheaves- and instantons. Anyway, here I would be interested to know of other examples more in the vein of the MO question linked above.

2. Do moduli spaces -possibly in the sense of algebraic geometry (of which Hilbert schemes are a special case)- have any link with physics beside string theory, high energy and elementary particle physics?

Last but not least:

3. What about moduli spaces and applied mathematics?

In this MO question it is stated that there is a relation between some aspects of condensed matter physics (namely the fractional quantum Hall effect) and the algebraic geometry of Hilbert schemes.

Having made a quick google search without immediate results, I'm curious to know:

1. How does this interaction between the two topics happen?

Let's have a more general look. I'm aware of the relation between Hilbert schemes -and also other kinds of moduli spaces of sheaves- and instantons. Anyway, here I would be interested to know of other examples more in the vein of the MO question linked above.

2. Do moduli spaces in the sense of algebraic geometry -of which Hilbert schemes are a special case- have any link with physics (except string theory, high energy and elementary particle physics)?

Last but not least:

3. What about moduli spaces and applied mathematics?