# Tag Info

Accepted

### Deformations of Calabi-Yau manifolds

The answer in general is no. Nakamura has constructed here (pp.90, 96-99, solvmanifolds of type III-(3b)) an example of a compact complex (non-Kähler) manifold $M$ with $TM$ holomorphically ...
• 6,498
Accepted

### Are the symmetric spaces $\operatorname{SU}(n)/{\operatorname{SO}(n)}$ always nontrivial in the bordism rings for $n>2$?

There is a fibration $SU(n) \overset p\to SU(n)/SO(n) \overset j\to BSO(n)$, where the $j$ is the classifying map of $p$, viewed as (the projection of) a principal $SO(n)$-bundle. The Stiefel–Whitney ...
• 2,947
Accepted

### Singularities of the moduli stack of Calabi-Yau threefolds

Yes, Calabi-Yau manifolds have unobstructed deformations. This is due to Tian and Todorov; there is a nice algebraic proof in a paper by Kawamata, J. Algebraic Geom. 1 (1992), no. 2, 183–190.
• 35.4k
Accepted

### central charge and Calabi-Yau dimension

Given a $N=(2,2)$ two dimensional superconformal field theory (SCFT), one can construct two topological field theories called the $A$ and $B$ models. To each of these topological field theories, one ...
• 6,720

### Can Calabi-Yau manifolds have nonabelian discrete symmetry groups?

Assuming you actually meant "Kähler" and not "Calabi-Yau": In the book Fundamental Groups of Compact Kähler Manifolds by Amorós et al., on page 6 (example 1.11) it is asserted that every finite ...
• 22.1k