Cohomology of generalized dold manifolds [HBNI Th254]
Material type:
TextLanguage: English Publication details: Chennai The Institute of Mathematical Sciences, Chennai 2024Description: 104pSubject(s): Online resources: Dissertation note: Ph.D 2024 HBNI Summary: A Dold manifold is defined as the quotient space Sm × CP n /∼, where (s, L) ∼
(−s, L̄). These manifolds were first introduced by Albrecht Dold in 1956 to construct
generators in odd dimensions for Thom’s unoriented cobordism ring (see [Dol56]).
The above definition was generalized by Nath and Sankaran to a broader class of
manifolds in order to study certain manifold-properties, which they termed gen-
eralized Dold manifolds (see [NS19]). We generalize this even further and call it
generalized Dold spaces (GDS) in [MS22] to study cohomology of these spaces
THESIS & DISSERTATION
| Home library | Call number | Materials specified | URL | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI Th-254 (Browse shelf(Opens below)) | Link to resource | Available | 78310 |
Ph.D 2024 HBNI
A Dold manifold is defined as the quotient space Sm × CP n /∼, where (s, L) ∼
(−s, L̄). These manifolds were first introduced by Albrecht Dold in 1956 to construct
generators in odd dimensions for Thom’s unoriented cobordism ring (see [Dol56]).
The above definition was generalized by Nath and Sankaran to a broader class of
manifolds in order to study certain manifold-properties, which they termed gen-
eralized Dold manifolds (see [NS19]). We generalize this even further and call it
generalized Dold spaces (GDS) in [MS22] to study cohomology of these spaces
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