4 papers · 1 filter
Torsion of extended Chern-Simons classes for canonical extensions of flat bundles
Jaya NN Iyer, Carlos Simpson
Let be a smooth complex projective variety and a divisor with simple normal crossings. Consider Deligne's canonical extension of a fl…
Regulators of canonical extensions are torsion:the case of two transversally intersecting smooth divisors
Jaya NN Iyer, Carlos Simpson
This note extends the main result of \cite{IS} 2007 --- torsion of the extended Chern--Simons (regulator) classes of the Deligne canonical extension of a flat bundle with unipotent…
A note on the Brill-Noether loci of small codimension in moduli space of stable bundles
Pritthijit Biswas, Jaya NN Iyer
Let be a smooth projective curve of genus over the field . Let denote the moduli space of stable rank vector bundles on with fixed determin…
Tautological algebra of the moduli stack of semistable bundles of rank 2 on a general curve
Chandranandan Gangopadhyay, Jaya NN Iyer, Arijit Mukherjee
Our aim is to determine the tautological algebra generated by the cohomology classes of the Brill-Noether loci in the rational cohomology of the moduli stack o…