Pin(2)-equivariant Floer homology and homology cobordism
58 mins 6 secs,
583.87 MB,
WebM
640x360,
29.97 fps,
44100 Hz,
1.33 Mbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Stoffregen, M (University of California, Los Angeles)
Friday 3rd February 2017 - 10:00 to 11:00 |
|---|
| Created: | 2017-02-14 13:42 |
|---|---|
| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Stoffregen, M |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | We review Manolescu's construction of the -equivariant Seiberg-Witten Floer stable homotopy type, and apply it to the study of the 3-dimensional homology cobordism group. We introduce the `local equivalence' group, and construct a homomorphism from the homology cobordism group to the local equivalence group. We then apply Manolescu's Floer homotopy type to obstruct cobordisms between Seifert spaces. In particular, we show the existence of integral homology spheres not homology cobordant to any Seifert space. We also introduce connected Floer homology, an invariant of homology cobordism taking values in isomorphism classes of modules. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 845.51 MB | View | Download | |
| WebM * | 640x360 | 1.33 Mbits/sec | 583.87 MB | View | Download | |
| iPod Video | 480x270 | 521.99 kbits/sec | 222.13 MB | View | Download | |
| MP3 | 44100 Hz | 249.77 kbits/sec | 106.38 MB | Listen | Download | |
| Auto | (Allows browser to choose a format it supports) | |||||