The starting point is always to consider whose names are ***** ***** deeds to the property – but this is only the starting point.
There are some circumstances which may allow you to claim an interest in your former partner’s home, for example if it is the family home for children.
A cohabitation agreement can help to clarify who will (or won’t) have an interest in the equity in the home.
Based on your circumstances, given the fact that your ex partner owns the house, you might still have a claim to have an interest in it on the basis that a “trust” has arisen, even if the relationship later broke down. A trust may arise where a partner makes certain financial contributions (for example by paying to build an extension). In this situation, a trust of this nature is when two (or more) cohabitees have an implied agreement relating to a property, normally based on their behaviour and financial contributions.
However, this a rather complicated point of law and it's generally at the discretion of the courts.
In my experience however, courts try to be fair and split the assets equally, based on similar circumstances to yours.
Therefore, you shouldn't worry that you might be kicked from the house or anything similar.
Subsequently, you might be legally entitled to 50% of the equity of the house.