## Unoriented cobordism

René Thom's 1954 paper *Quelques propriétés globales
des variétés differentiables* calculated the unoriented cobordism ring as a free polynomial algebra over 𝔽_{2}
with a single generator in each degree *k* such that *k* + 1 is not a power of 2. Hence the size of the
cobordism group in dimension *n* is a modified partition function. This calculator computes this function
given *n*.

Answer: dim_{𝔽2} Ω_{n} = _.

## Unoriented manifolds with a principal ℤ/2-bundle

Under cobordism, closed, unoriented manifolds with a principal ℤ/2-bundle form a ring. Thom's work identifies this
group with π_{*}(*MO* ∧ *B*ℤ/2_{+}), which can be computed in a similar manner as above.

Answer: dim_{𝔽2} π_{n}(*MO* ∧
*B*ℤ/2_{+}) = _.

## Complex cobordism

Novikov's 1960 paper *Some problems in the topology of manifolds connected with the theory of Thom spaces*
uses Thom's construction to calculate that the cobordism ring of stably almost complex manifolds is a free
polynomial algebra over ℤ. Again, the size of the cobordism group in dimension *n* is a modified partition
function, computed in a similar way.

Answer: dim_{ℤ} π_{n}(*MU*) = _.