### Some random notes

Some notes on the Nishida relations and the Singer construction,
.pdf.

Lecture notes on a proof (with Jean Lannes) of Browder's theorem
using characteristic numbers for manifolds with corners,
.pdf.
"Speculations around the immersion conjecture,"
.pdf, notes from a talk in the
Thursday seminar at Harvard.
Some motivation for TQFT's, written in connection with a
Freshman Advising Seminar, Fall 2018.
.pdf

A note on the topological Riemann-Roch theorem,
.pdf.

Notes on Witten's use of the fixed point formula and
elliptic cohomology, from about 2010,
.pdf.

Nonabelian cohomology and obstructions, following Wojtkowiak:
.pdf.

Notes on "Verdier systems." .pdf

Some notes on the case p=2, n=1 of Fred Cohen's thesis.
.pdf.

Some notes on Clark Barwick's theory of operator categories.
.pdf.

Notes on Toda's realization theorem. .pdf

A conjecture about the Adams E^2 term for the sphere in a wedge
under the vanishing line, .pdf.

A note on the Kervaire invariant and the Hopf invariant on a Moore space,
.pdf.

Easy stuff on the homotopy fixed point set of the action of a group
on B pi induced by an action on pi.
.pdf
A note on the combinatorics of rack cohomology,
.pdf.
A note on Beck modules over a Poisson algebra
.pdf.
A note on "vertex algebroids," .pdf.
A conjecture about the structure of the bar construction spectral
sequence for an iterated loop space, .pdf.

A note on crossed products of categories,
.pdf

"Legendre transform in two-dimensional thermodyamics,"
.pdf, a summary of thermodyamics of
a single species, as background for a treatment of Legendre transform
in advanced calculus.
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