Obstruction classes and Pontrjagin classes (Ex)

1 Question

Take the stable vector bundle over the $4i$$<!-- COMMENT: To achieve a unified layout, along with using the template below, please OBSERVE the following: besides, $...$ and $$...$$, you should use two environments: - For statements like Theorem, Lemma, Definition etc., use e.g. {{beginthm|Theorem 1|(Milnor)}} ... ... ... {{endthm}}. - For references, use e.g. {{cite|Milnor1958b}}. END OF COMMENT --> == Question == <wikitex>; Take the stable vector bundle over the i$-sphere corresponding to the generator of $\pi_{4i} BO = \mathbb{Z}$. What's its $i$-th Pontryagin class in $H^{4i}(S^{4i}) \cong \mathbb{Z}$ ? </wikitex> == Answers == <wikitex>; YOUR TEXT HERE ... </wikitex> == Further discussion == <wikitex>; YOUR TEXT HERE ... </wikitex> == References == {{#RefList:}} <!-- Please add further headings according to your needs. --> [[Category:Questions]] [[Category:Study questions]]4i$-sphere corresponding to the generator of $\pi_{4i} BO = \mathbb{Z}$$\pi_{4i} BO = \mathbb{Z}$. What's its $i$$i$-th Pontryagin class in $H^{4i}(S^{4i}) \cong \mathbb{Z}$$H^{4i}(S^{4i}) \cong \mathbb{Z}$ ?

2 Answers

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3 Further discussion

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