Matches in SemOpenAlex for { <https://semopenalex.org/work/W3183867737> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W3183867737 abstract "Let $f:mathcal{X}to S$ be a proper holomorphic submersion of complex manifolds and $G$ a complex reductive linear algebraic group with Lie algebra $mathfrak{g}$. Assume also given a holomorphic principal $G$-bundle $mathcal{P}$ over $mathcal{X}$ which is endowed with a holomorphic connection $nabla$ relative to $f$ that is flat (this to be thought of as a holomorphic family of compact complex manifolds endowed with a holomorphic principal $G$-bundle with flat connection). We show that a refinement of the Chern-Weil homomorphism yields a graded algebra homomorphism $mathbb{C}[mathfrak{g}]^Gto bigoplus_{nge 0} H^0(S,,Omega^n_{S,cl}otimes R^nf_*mathbb{C})$, where $Omega^n_{S,cl}$ stands for the sheaf of closed holomorphic $n$-forms on $S$. If the fibers of $f$ are compact Riemann surfaces and we take as our invariant the Killing form, then we recover Goldman's closed holomorphic $2$-form on the base $S$." @default.
- W3183867737 created "2021-08-02" @default.
- W3183867737 creator A5012506697 @default.
- W3183867737 creator A5091389697 @default.
- W3183867737 date "2021-07-22" @default.
- W3183867737 modified "2023-09-27" @default.
- W3183867737 title "Characteristic forms for holomorphic families of local systems" @default.
- W3183867737 cites W2053441708 @default.
- W3183867737 cites W2077316165 @default.
- W3183867737 cites W3151048661 @default.
- W3183867737 hasPublicationYear "2021" @default.
- W3183867737 type Work @default.
- W3183867737 sameAs 3183867737 @default.
- W3183867737 citedByCount "0" @default.
- W3183867737 crossrefType "posted-content" @default.
- W3183867737 hasAuthorship W3183867737A5012506697 @default.
- W3183867737 hasAuthorship W3183867737A5091389697 @default.
- W3183867737 hasConcept C13355873 @default.
- W3183867737 hasConcept C136119220 @default.
- W3183867737 hasConcept C137134375 @default.
- W3183867737 hasConcept C202444582 @default.
- W3183867737 hasConcept C204575570 @default.
- W3183867737 hasConcept C2524010 @default.
- W3183867737 hasConcept C33923547 @default.
- W3183867737 hasConcept C4017995 @default.
- W3183867737 hasConcept C4042151 @default.
- W3183867737 hasConcept C45237699 @default.
- W3183867737 hasConceptScore W3183867737C13355873 @default.
- W3183867737 hasConceptScore W3183867737C136119220 @default.
- W3183867737 hasConceptScore W3183867737C137134375 @default.
- W3183867737 hasConceptScore W3183867737C202444582 @default.
- W3183867737 hasConceptScore W3183867737C204575570 @default.
- W3183867737 hasConceptScore W3183867737C2524010 @default.
- W3183867737 hasConceptScore W3183867737C33923547 @default.
- W3183867737 hasConceptScore W3183867737C4017995 @default.
- W3183867737 hasConceptScore W3183867737C4042151 @default.
- W3183867737 hasConceptScore W3183867737C45237699 @default.
- W3183867737 hasLocation W31838677371 @default.
- W3183867737 hasOpenAccess W3183867737 @default.
- W3183867737 hasPrimaryLocation W31838677371 @default.
- W3183867737 hasRelatedWork W2020780602 @default.
- W3183867737 hasRelatedWork W2044344677 @default.
- W3183867737 hasRelatedWork W2058750516 @default.
- W3183867737 hasRelatedWork W2060068974 @default.
- W3183867737 hasRelatedWork W2084263606 @default.
- W3183867737 hasRelatedWork W2140582110 @default.
- W3183867737 hasRelatedWork W2141297710 @default.
- W3183867737 hasRelatedWork W2302429064 @default.
- W3183867737 hasRelatedWork W2949250556 @default.
- W3183867737 hasRelatedWork W2950211121 @default.
- W3183867737 hasRelatedWork W2953093209 @default.
- W3183867737 hasRelatedWork W2963074548 @default.
- W3183867737 hasRelatedWork W2966328490 @default.
- W3183867737 hasRelatedWork W2991039944 @default.
- W3183867737 hasRelatedWork W3037329263 @default.
- W3183867737 hasRelatedWork W3100389196 @default.
- W3183867737 hasRelatedWork W3102166038 @default.
- W3183867737 hasRelatedWork W333794996 @default.
- W3183867737 hasRelatedWork W46661584 @default.
- W3183867737 hasRelatedWork W2549080142 @default.
- W3183867737 isParatext "false" @default.
- W3183867737 isRetracted "false" @default.
- W3183867737 magId "3183867737" @default.
- W3183867737 workType "article" @default.