# Tagged Questions

**4**

votes

**1**answer

229 views

### What's a good reference for the following obstruction theory yoga?

Fix a colored operad, which I will leave implicit, and a field $\mathbb K$ of characteristic $0$. By algebra in this post I will mean a dg algebra over $\mathbb K$ for the given colored operad. I ...

**8**

votes

**1**answer

361 views

### rational homotopy of a manifold

Given a finite dim rational homotopy type satisfying PoincarĂ© duality,
what is the best reference to when it is the rational homotopy type of a fin dim manifold?

**9**

votes

**2**answers

506 views

### Reference for functors in Kadeishvili's C_\infty paper

In his paper Cohomology $C_\infty$-algebra and rational homotopy type, Tornike Kadeishvili describes how the rational cohomology of a simply-connected space carries the structure of a ...

**13**

votes

**1**answer

591 views

### Higher homotopy algebraic structure on the homology of an operad

Given a DGA $A$, then by standard techniques such as homological perturbation theory, the ring structure on the homology $H(A)$ extends to a minimal $A_\infty$-algebra structure such that $H(A)$ is ...