Search Results - "Westerland, Craig"

String homology of spheres and projective spaces by Westerland, Craig

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Hochschild homology of structured algebras by Wahl, Nathalie, Westerland, Craig

“…We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any prop with A∞-multiplication—we think…”
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Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields by Ellenberg, Jordan S., Venkatesh, Akshay, Westerland, Craig

“…We prove a homological stabilization theorem for Hurwitz spaces: moduli spaces of branched covers of the complex projective line. This has the following…”
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Twisted Morava K‐theory and E‐theory by Sati, Hisham, Westerland, Craig

“…For a class H∈Hn+2(X;Z), we define twisted Morava K‐theory K(n)*(X;H) at the prime 2, as well as an integral analogue. We explore properties of this twisted…”
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Operads of moduli spaces of points in ℂ^{ } by Westerland, Craig

“…We compute the structure of the homology of an operad built from the spaces T H d , n \mathrm {TH}_{d, n} of configurations of points in C d \mathbb {C}^d ,…”
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OPERADS OF MODULI SPACES OF POINTS IN ℂ d by WESTERLAND, CRAIG

“…We compute the structure of the homology of an operad built from the spaces TH d,n of configurations of points in ℂ d , modulo translation and homothety. We…”
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Equivariant operads, string topology, and Tate cohomology by Westerland, Craig

“…From an operad with an action of a group G , we construct new operads using the homotopy fixed point and orbit spectra. These new operads are shown to be…”
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Structure theorems for braided Hopf algebras by Westerland, Craig

“…We develop versions of the Poincar\'e-Birkhoff-Witt and Cartier-Milnor-Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new…”
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Stable splittings of surface mapping spaces by Westerland, Craig

“…We study the homotopy type of mapping spaces from Riemann surfaces to spheres. Our main result is a stable splitting of these spaces into a bouquet of new…”
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Dyer-Lashof operations in the string topology of spheres and projective spaces by Westerland, Craig

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String topology prospectra and Hochschild cohomology by Gruher, Kate, Westerland, Craig

“…We study string topology for classifying spaces of connected compact Lie groups, drawing connections with Hochschild cohomology and equivariant homotopy…”
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Operads of moduli spaces of points in \mathbb{C}^d by Craig Westerland

“…We compute the structure of the homology of an operad built from the spaces \mathrm {TH}_{d, n} \mathbb{C}^d…”
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A higher chromatic analogue of the image of J by Westerland, Craig

“…Geom. Topol. 21 (2017) 1033-1093 We prove a higher chromatic analogue of Snaith's theorem which identifies the K-theory spectrum as the localisation of the…”
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Hyperelliptic curves, the scanning map, and moments of families of quadratic L-functions by Bergström, Jonas, Diaconu, Adrian, Petersen, Dan, Westerland, Craig

“…We compute the stable homology of the braid group with coefficients in any Schur functor applied to the integral reduced Burau representation. This may be…”
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The symplectic Verlinde algebras and string K-theory by Kriz, Igor, Levin, Joshua T., Westerland, Craig

“…We construct string topology operations in twisted K-theory. We study the examples given by symplectic Grassmannians, computing K * τ (L P ) in detail. Via the…”
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Topological T-duality is twisted Atiyah duality by Westerland, Craig

“…We show that the topological T-duality for circle bundles introduced in work of Bouwknegt-Evslin-Mathai can be interpreted as a form of Atiyah duality for…”
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Twisted iterated algebraic K-theory and topological T-duality for sphere bundles by Lind, John A, Sati, Hisham, Westerland, Craig

“…Ann. K-Th. 5 (2020) 1-42 We introduce a periodic form of the iterated algebraic K-theory of ku, the (connective) complex K-theory spectrum, as well as a…”
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Twisted Morava K-theory and E-theory by Sati, Hisham, Westerland, Craig

“…For an integral cohomology class H of degree n+2 on a space X, we define twisted Morava K-theory K(n)(X; H) at the prime 2, as well as an integral analogue. We…”
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Operads of moduli spaces of points in C^d by Westerland, Craig

“…We compute the structure of the homology of an operad built from the spaces TH_{d,n} of configurations of points in C^d, modulo translation and homothety. We…”
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Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields by Ellenberg, Jordan S, Tran, TriThang, Westerland, Craig

“…The purpose of this paper is to prove the upper bound in Malle's conjecture on the distribution of finite extensions of $\mathbb{F}_q(t)$ with specified Galois…”
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