Sanath K. Devalapurkar

activity

20152025

most citedA Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

6 citations · 23 across the 21 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AT2019

Hodge theory for elliptic curves and the Hopf element $ν$

Sanath K. Devalapurkar

We show that the vector bundle on the moduli stack $M_{ell}$ of elliptic curves associated to the $2$ -cell complex $C ν$ is isomorphic to the de Rham cohomology sheaf $\mathr…

math.AT2019

On the James and Hilton-Milnor Splittings, & the metastable EHP sequence

Sanath K. Devalapurkar, Peter J. Haine

This note provides modern proofs of some classical results in algebraic topology, such as the James Splitting, the Hilton-Milnor Splitting, and the metastable EHP sequence. We prov…

math.AT2019★ 2 cited

The Ando-Hopkins-Rezk orientation is surjective

Sanath K. Devalapurkar

We show that the map $π_{*} MString \to π_{*} tmf$ induced by the Ando-Hopkins-Rezk orientation is surjective. This proves an unpublished claim of Hopkins and Ma…

Hodge theory for elliptic curves and the Hopf element ν

On the James and Hilton-Milnor Splittings, & the metastable EHP sequence

The Ando-Hopkins-Rezk orientation is surjective

Hodge theory for elliptic curves and the Hopf element $ν$