Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: Riemann sphere

Bottom of Page

1 to 1 of 1

- CommentRowNumber1.
- CommentAuthorUrs
- CommentTimeJun 2nd 2025
- PermaLink
Author: Urs
Format: MarkdownItexadded the remark that $$ \mathbb{C}P^1 \,\simeq\, Gr_1(\mathbb{C}^2) \,\simeq\, \mathrm{U}(2)/\big(\mathrm{U}(1) \times \mathrm{U}(1)\big) $$ <a href="https://ncatlab.org/nlab/revision/diff/Riemann+sphere/14">diff</a>, <a href="https://ncatlab.org/nlab/revision/Riemann+sphere/14">v14</a>, <a href="https://ncatlab.org/nlab/show/Riemann+sphere">current</a>

added the remark that
$<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>ℂ</mi><msup><mi>P</mi> <mn>1</mn></msup><mspace width="0.16667em"/><mo>≃</mo><mspace width="0.16667em"/><msub><mi>Gr</mi> <mn>1</mn></msub><mo stretchy="false">(</mo><msup><mi>ℂ</mi> <mn>2</mn></msup><mo stretchy="false">)</mo><mspace width="0.16667em"/><mo>≃</mo><mspace width="0.16667em"/><mi mathvariant="normal">U</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo><mo stretchy="false">/</mo><mo maxsize="1.2em" minsize="1.2em">(</mo><mi mathvariant="normal">U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo><mo>×</mo><mi mathvariant="normal">U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo><mo maxsize="1.2em" minsize="1.2em">)</mo></mrow><annotation encoding="application/x-tex"> \mathbb{C}P^1 \,\simeq\, Gr_1(\mathbb{C}^2) \,\simeq\, \mathrm{U}(2)/\big(\mathrm{U}(1) \times \mathrm{U}(1)\big) </annotation></semantics></math>$
diff, v14, current

1 to 1 of 1

nForum

Discussion Feed

Not signed in

Site Tag Cloud

nLab > Latest Changes: Riemann sphere