Introduction to the basics of Heegaard Floer homology

TL;DR

This paper introduces the fundamental concepts of Heegaard Floer homology, focusing on hat theory and contact invariants, aimed at beginners without prior background.

Contribution

It offers an accessible introduction to Heegaard Floer homology, emphasizing key aspects like hat theory and contact invariants for newcomers.

Findings

Clarifies the basic structure of Heegaard Floer homology

Highlights the role of contact geometric invariants

Provides foundational understanding for further study

Abstract

This paper provides an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. The exposition is designed to be comprehensible to people without any prior knowledge of the subject.